Publications ************ Appeared or accepted -------------------- [1] O. Došlý, P. Řehák; Conjugacy criteria for second order linear difference equations, Arch. Math. 34 (1998), 301--310. [2] P. Řehák; A Reid type roundabout theorem for second order half-linear difference equations and some of its applications, Proceedings of 4th ICDEA (Poznaň 1998), Gordon and Breach Science Publ., Amsterdam 2000, 327--335. [3] P. Řehák; Half-linear discrete oscillation theory, In: Proceedings of the 6th Colloquium on the Qualitative Theory of Differential Equations (Szeged, 1999), Electron. J. Qual. Theory Differ. Equ., No. 5 (electronic), Szeged, 15 s., 2000. [4] P. Řehák; Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations, J. Math. Anal. Appl. 252 (2000), 813--827. [5] P. Řehák; Oscillatory properties of second order half-linear difference equations, Czechoslovak Math. J. 51 (2001), 303--321. [6] O. Došlý, P. Řehák; Nonoscillation criteria for second order half-linear difference equations, Comput. Math. Appl. 42 (2001), 453--464. [7] P. Řehák; Generalized discrete Riccati equation and oscillation of half-linear difference equations, Math. Comp. Modelling 34 (2001), 257--269. [8] P. Řehák; Oscillation criteria for second order half-linear difference equations, J. Difference Equ. Appl. 7 (2001), 483--505. [9] P. Řehák; Oscillation and nonoscillation criteria for second order linear difference equations, Fasciculi Mathematici 31 (2001), 71--89. [10] M. Marini, S. Matucci, P. Řehák; On decay of coupled nonlinear differential systems, Adv. Math. Sci. Appl. 12 (2002), 521--533. [11] P. Řehák; Comparison theorems and strong oscillation in the half-linear discrete oscillation theory, Rocky Mountain Journal of Math. 33 (2003), 333--352. [12] P. Řehák; Half-linear dynamic equations on time scales: IVP and oscillatory properties, J. Nonlinear Functional Analysis and Appl. 7 (2002), 361--404. [13] M. Marini, S. Matucci, P. Řehák; Nonoscillatory solutions for nonlinear discrete systems, In: Proceedings of Equadiff 10 (Prague, 2001) CD ROM (2002), 289--296. [14] M. Marini, S. Matucci, P. Řehák; Zero convergent solutions for a class of p-laplacian systems, In: Proceedings of Equadiff 10 (Prague, 2001) CD ROM (2002), 279--287. [15] L. Erbe, A. Peterson, P. Řehák; Comparison theorems for linear dynamic equations on time scales, J. Math. Anal. Appl. 275 (2002), 418--438. [16] O. Došlý, P. Řehák; Recessive solution of half-linear second order difference equations, J. Differ. Equ. Appl. 9 (2003), 49--61. [17] R. Hilscher, P. Řehák; Riccati inequality, disconjugacy and reciprocity principle for linear Hamiltonian dynamic systems, Dynam. Systems Appl. 12 (2003), 171--189. [18] R.P. Agarwal, M. Bohner, P. Řehák; Half-linear dynamic equations, In Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday, R. P. Agarwal, D. O'Regan editors, Dordrecht: Kluwer Academic Publishers, 2003, 1--56. [19] M. Marini, S. Matucci, P. Řehák; Strongly decaying solutions of nonlinear forced discrete systems, In: B. Aulbach, S. Elaydi, and G. Ladas, editors, Conference Proceedings of the Sixth International Conference on Difference Equations, Augsburg, 2001, Taylor and Francis, FL, USA: CRC, Boca Raton, 2004, 493--500. [20] P. Řehák; On certain comparison theorems for half-linear dynamic equations on time scales, Abstr. Appl. Anal. 7 (2004), 551--565. [21] L. Malaguti, P. Řehák, V. Taddei; Bounded solutions and wavefronts for discrete dynamics, Comp. Math. Appl. 47 (2004), 1079--1094. [22] M. Marini, S. Matucci, P. Řehák; Oscillation of coupled nonlinear discrete systems, J. Math. Anal. Appl. 295 (2004) 459--472. [23] P. Řehák; Opial and Lypaunov type inequalities for half-linear dynamic equations, Dynam. Systems Appl. 13 (2004), 445--458. [24] P. Řehák; Hardy inequality on time scales and its application to half-linear dynamic equations, J. Inequal. Appl. 5 (2005), 495--507. [25] S. Matucci, P. Řehák; Necessary and sufficient conditions for oscillation of coupled nonlinear discrete systems, In: Difference Equations and Discrete Dynamical Systems, Proc. of 9th ICDEA, Los Angeles, 2004, Singapore: World Scientific, 2005, 171--183. [26] P. Řehák; Function sequence technique for half-linear dynamic equations on time scales, Panamer. Math. J. 16 (2006), 31--56. [27] M. Marini, S. Matucci, P. Řehák; Boundary value problems for functional difference equations on infinite intervals, Adv. Differ. Equ. 2006 (2006), 1--14. [28] P. Řehák; How the constants in Hille-Nehari theorems depend on time scales, Adv. Differ. Equ., 2006 (2006), 1--15. [29] P. Řehák, V. Taddei; Existence of positive decaying solutions for nonlinear singular second order equations, Differential Equations and Dynamical Systems, 15, 1, 2007, 89-108. [30] M. Marini, S. Matucci, P. Řehák; Asymptotic boundary value problems for discrete systems, In Difference equations, special functions and orthogonal polynomials, Eds. S. Elaydi, J Cushing, R. Lasser, V. Papageorgiou, A. Ruffing, W. Van Assche, Munich, Germany, 25-30 July 2005. London, World Scientific, 2007, 394-403, ISBN 978-981-270-643-0. [31] L. Erbe, A. Peterson, P. Řehák; Integral comparison theorems for second order linear dynamic equations, In Difference equations, special functions and orthogonal polynomials, Eds. S. Elaydi, J Cushing, R. Lasser, V. Papageorgiou2) (2008), 93, A. Ruffing, W. Van Assche, Munich, Germany, 25-30 July 2005. London, World Scientific, 2007, 497-506, ISBN 978-981-270-643-0. [32] S. Matucci, P. Řehák; Nonoscillatory solutions of a second order nonlinear discrete system, Appl. Math. Comp. 190 (2007), 833-845. [33] S. Matucci, P. Řehák; Regularly varying sequences and second order difference equations, Journal of Difference Equations and Applications 14 (2008), 17-30. [34] P.Rehak, Comparison of nonlinearities in oscillation theory of half-linear differential equations, Acta Math. Hungar. 121 (1-2) (2008), 93-105. [35] P. Řehák, Regular variation on time scales and dynamic equations, AJMAA Volume 5, Issue 2, Article 5, pp. 1-10, 2008. [36] S. Matucci, P. Řehák: Second order linear difference equations and Karamata sequences, International Journal of Difference Equations, 3 (2), 277-288, 2008. [37] Řehák, Pavel. A Riccati technique for proving oscillation of a half-linear equation. Electronic Journal of Differential Equations, San Marcos, TX 78666, USA : Texas State University - San Marcos, 2008, 105, od s. 1-8, 8 s. ISSN 1072-6691. 2008. [38] P. Řehák; A critical oscillation constant as a variable of time scales for half-linear dynamic equations, Math. Slovaca 60 (2010), No. 2, 237-256 DOI: 10.2478/s12175-010-0009-7 ISSN 0139-9918 [39] P.Rehak, J. Vitovec, Regularly varying decreasing solutions of half-linear dynamic equations, Proc of ICDEA, Lisbon, accepted (2008). [40] S. Matucci, P. Řehák: Rapidly varying decreasing solutions of half-linear difference equations. Mathematical and Computer Modelling, Elsevier Science, 49, 7-8, od s. 1692-1699, 8 s. ISSN 0895-7177. 2009. [41] P. Rehak, J. Vitovec, q-regular variation and q-difference equations, J. Phys. A: Math. Theor. 41 (2008) 495203, 1-10. [42] P.Rehak, J. Vitovec, Regular Variation on Measure Chains, Nonlinear Analysis 72 (2010), pp. 439-448 DOI information: 10.1016/j.na.2009.06.078 [43] P. Řehák; A Willett type criterion with the best possible constant for linear dynamic equations. In Advanced Studies in Pure Mathematics. Advances in Discrete Dynamical Systems. Tokyo : Mathematical Society of Japan, 2009. od s. 261-269, 9 s. ISBN 978-4-931469-49-5. [44] P. Rehak, New results on critical oscillation constants depending on a graininess, to appear in Dynam. Systems Appl. [45] P. Rehak, A role of the coefficient of the differential term in qualitative theory of half-linear equations, to appear in Proceedings of Equadiff 12. Články předložené ----------------- P.Rehak, Peculiarities in Power Type Comparison Results for Half-Linear Dynamic Equations (2009) S. Matucci, P. Rehak, Nonoscillation of Half-Linear Dynamic Equations (2009) P. Rehak, J. Vitovec, q-Karamata functions and second order q-difference equations (2010) Monografie ---------- [1] O. Došlý, P. Řehák; Half-linear Differential Equations, Elsevier, North Holland, 2005, xiv+517 s. Editorstvi sborniku ------------------- [1] Ondrej Dosly, Pavel Rehak (Eds), Colloquium on Differential and Difference Equations, CDDE 2006, Proceedings ISBN: 978-80-210-4414-2 Masaryk University Press, Brno 2007 200 stran Další texty ----------- [1] P. Řehák; Oscilační teorie lineárních diferenčních rovnic, diplomová práce, PřF MU Brno 1997. [2] P. Řehák; Half-linear discrete oscillation theory, dizertační práce, PřF MU Brno 2000, rovněž se objevilo v Applied Mathematics E-Notes, \\ \verb+http://www.math.nthu.edu.tw/~amen/+. [3] P. Řehák; Time scales -- sjednocení spojité a diskrétní analýzy In: XIX. vědecké kolokvium ŘOP Vyškov -- sborník (2001), 319--324. [4] P. Řehák; Half-linear dynamic equations on time scales, habilitační práce, PřF MU Brno 2006. CD ROMy ------- [1] Z. Došlá, P. Řehák; CD ROM: Colloquium on Differential and Difference Equations, 2002. [2] Z. Došlá, P. Řehák; CD ROM: ICDEA 2003 -- Conference in Pictures, 2003. Účast na řešení grantových projektů ----------------------------------- 201/98/0677, Diferenční rovnice a jejich aplikace, GAČR, 1998-2000, nositel Masarykova Universita Brno [spoluřešitel]. 201/01/P041, Kvalitativní teorie pololineárních diferenciálních a diferenčních rovnic, GAČR, 2001-2003, postdoktorandský grant, nositel Masarykova Universita Brno [hlavní řešitel]. 201/01/0079, Kvalitativní vlastnosti řešení diferenčních rovnic, GAČR, 2001-2003, nositel Masarykova Universita Brno [spoluřešitel]. R/18/2001, Zřízení konzultačního střediska na KMa PdF MU Brno pro širokou veřejnost, zejména učitele 1. a 2. stupně ZŠ. Financováno MŠMT (Program na podporu a rozvoj vzdělávací činnosti veřejných vysokých škol) [spoluřešitel]. 201/04/0580, Diferenční rovnice a dynamické rovnice na time scales, GAČR, 2004-2006, nositel Masarykova Universita Brno [spoluřešitel]. KJB1019407, Lineární Hamiltonovské dynamické systémy a pololineární dynamické rovnice, GA AV, 2004-2006, nositel MÚ AV ČR [hlavní řešitel]. KJB100190701, Asymptotika, oscilace a kvadratické funkcionály v teorii dynamických rovnic, GA AV, 2007-2009, nositel MÚ AV ČR [hlavní řešitel]. 201/07/0145, Diferenční rovnice a dynamické rovnice na time scales II, GAČR, 2007-2009, nositel Masarykova Universita Brno [spoluřešitel]. Dále pak řešitel výzkumného záměru na MÚ AVČR AV0Z010190503 (od r. 2004) 201/10/1032, Diferenční rovnice a dynamické rovnice na time scales III, GAČR, od r. 2010, nositel Masarykova Universita Brno [spoluřešitel]. Zahraniční pobyty ----------------- říjen, listopad 1999 (8 týdnů): výzkumný pobyt na univerzitě v Grazu, Rakousko (stipendium AKTION) říjen 2000 (4 týdny), říjen 2001 (1 týden), únor 2003 (1 týden) únor 2004 (1 týden), únor 2005 (2 týdny), únor 2006 (2 týdny), listopad 2006 (2 týdny), listopad 2007 (1 tyden), brezen 2009 (1 tyden), rijen 2009 (1 tyden): výzkumné pobyty na univerzitě ve Florencii, Itálie listopad 2000 (2 týdny), unor 2009 (1 tyden): výzkumný pobyt na univerzitě v Modeně, Itálie říjen 2001 (1 týden), září 2003 (1 týden): výzkumný pobyt na univerzitě v Reggio di Emilia, Itálie prosinec 2001 -- květen 2002: výzkumný a přednáškový pobyt (visiting assistant professor) na University of Nebraska, Lincoln, USA Vystoupení na zahraničních a domácích konferencích s mezinárodní účastí ----------------------------------------------------------------------- The 4th International Conference on Difference Equations and Applications, Poznan, Polsko, 1998. Workshop on Differential Equations, Brno, 1998. Borůvka Mathematical Symposium, Valtice, 1999. The 6th Colloquium on the Qualitative Theory of Differential Equations, Szeged, Maďarsko, 1999 Colloquium on Differential and Difference Equations 2000, Brno, 2000. The 3rd World Congress of Nonlinear Analysts, Catania, Itálie, 2000. The 6th International Conference on Difference Equations and Applications, Augsburg, Německo, 2001. 10th Equadiff, Praha, 2001. Meeting of AMS, Atlanta, USA, 2002. International Conference on Differential, Difference Equations and their Applications, Patras, Řecko, 2002. Colloquium on Differential and Difference Equations 2002, Brno, 2002. The 8th International Conference on Difference Equations and Applications, Brno, 2003. Conference on Differential Equations and Applications --- IMC, Žilina, Slovensko, 2003. The 9th International Conference on Difference Equations and Applications, Los Angeles, USA, 2004. The 1st International Workshop on Dynamic Equations on Time Scales, Istanbul, Turecko, 2005. International Conference on Difference Equations, Special Functions and Applications, Mnichov, Německo, 2005. The 11th International Conference on Difference Equations and Applications, Kyoto, Japonsko, 2006. Colloquium on Differential and Difference Equations 2006, Brno, 2006. The 8th Colloquium on the Qualitative Theory of Differential Equations, Szeged, Maďarsko, 2007 The 12th International Conference on Difference Equations and Applications, Lisabon, Portugalsko, 2007. International Conference on Differential and Difference Equations, Veszprém, Hungary, 2008. The 14th International Conference on Difference Equations and Applications, Istanbul, Turecko, 2008. Equadiff 12, Brno, 2009 Vystoupení na zahraničních seminářích ------------------------------------- Karl-Franzens Universit\"at Graz, Rakousko, série tří přednášek na specializovaném semináři, 1999. Universita Degli Studi di Firenze, Itálie, čtyři přednášky na specializovaném semináři v letech 2000, 2001, 2003, 2004. University of Nebraska, Lincoln, USA, kolokviální přednáška + série čtyř přednášek na specializovaném semináři Universita v Modene, prednaska na specializovanem seminari, unor 2009 Vystoupení na tuzemských seminářích ----------------------------------- Seminář o diferenciálních rovnicích, PřF MU v Brně: listopad 1998, duben 2001, listopad 2002, duben 2004, listopad 2005 (habilitační přednáška), říjen 2006, prosinec 2007, kveten 2009 Seminář MPS JČMF, PdF MU v Brně: duben 2001, duben 2003, květen 2005 Seminář KMa ZČU v Plzni s mezinárodní účastí, 1999. Vyjezdni zasedani MU AVCR, Trest, 2005. Seminář ÚM FE VUT Brno, duben 2006. Přednáška před VR PřF MU Brno (habilitace), květen 2006 Prednaska na Rozpravach o DR konanych v ramci vyjezdniho zasedani Seminare o DR a teorii integralu, Velke Bilovice, listopad 2009 Ocenění vědeckou komunitou -------------------------- 2001: Cena rektora za vynikající výsledky v doktorském studiu 2002: Cena MVS JČMF pro mladé matematiky za soubor 9 prací Kolokviální přednáška na University of Nebraska, Lincoln, USA (2002) 2005: Prémie Otto Wichterleho pro mladé vědecké pracovníky AV ČR 2006: Cena rektora za významný tvůrčí čin Přehled pedagogické činnosti ---------------------------- Výuka v rámci DSP na PřF MU v Brně: 1997--2000 Výuka na FSI VUT v Brně (asistent): 2000 Výuka na University of Nebraska, Lincoln, USA (visiting assistant professor): 2002 Výuka na PdF MU v Brně (odborný asistent, docent): 2000--dosud Člen komise pro SZZ (KMa PdF MU) Vedení závěrečných a diplomových prací pro rozšiřující studium na PdF MU v Brně (závěrečné práce mají statut diplomových prací): *vedeni zaverecnych praci: Vlastimil Kopecky: Kalkulus na time scales (2001) Michal Sedlacek: Linearni diferencialni rovnice 2.radu (2001) Pavlina Simunkova: Linearni diferencni rovnice a jejich aplikace (2004) Milada Bartonickova: Laplaceova transformace (2004) Jana Sevcikova: Diferencni pocet (2005) Ilona Knechtova: Ulohy z kombinatoriky (2006) Radka Mikulaskova: Matematicke modelovani v programu MAPLE (2006) Dana Chladkova: Numericka matematika pro stredni skoly (2006) Tomas Ovesny: Sifrovaci standardy (2007) Alena Hernikova: Numericka matematika pro stredni skoly (2007) Michal Stastny, Sbirka prikladu z kombinatoriky pro SS (2008) *vedeni diplomovych praci: Michal Stastny (PdF MU): Kombinatorika (2007) Tomas Stetina (PdF MU): Diferencialni versus diferencni pocet (2009) *oponentury: oponent zaverecne prace Zdenek Lovecek: Sbirka narocnejsich uloh o kuzeloseckach pro SS (2004) oponent zaverecne prace Martina Vitulova: Funkcionalni rovnice (2004) oponent diplomove prace: Martin Zivotsky: Retezove zlomky (2003) Oponentsky posudek rigorozni prace Pavliny Rackove "Extremalni ulohy" (2005) Posudky a oponentury (dizertace, projekty, ...) -------------------- Lektorsky posudek na skripta R. Marik, Diferencialni a diferencni rovnice, MZLU (2003) Oponent projektu 1K04001 MSMT (Roman Hilscher 2004-2006) posudek grantove prihlasky (2006, GACR Postdoc projekt, tgbkemqxc) posudek pojednani ke statni doktorske zkousce M. Urbanka (2006, ÚM FS VUT) posudek grantove prihlasky (2005, GACR Postdoc projekt, mwpftcv) oponent dizertacni prace P. Stehlika (2006, FAV ZCU Plzen) oponent dizertacni prace S. Pechancove (2007, PrF MU) posudek grantove prihlasky (2007, GACR, dgpgfkmv) kod2 posudek grantove prihlasky (2007, GACR Postdoc projekt, uvgjnkm) kod2 lektorsky posudek na R. Marik, Oscillation theory of partial differential equations with p-Laplacian, MZLU FOLIA (2008) oponent (+ clen komise) dizertacni prace M. Urbanka (2008, UM FS VUT) posudek grantove prihlasky (2008, GACR Postdoc projekt, rcvkmqxc) posudek grantove prihlasky (2008, GACR Postdoc projekt, twkemqxc) Oponent projektu MSMT kontakt ME 891 za rok 2008, 2009 (Roman Hilscher) Oponent projektu FRVS 99/2008 Multimedialni podpora vyuky matematiky na MZLU v Brne - za rok 2008 (Robert Marik, 2009) Další údaje ----------- Od r. 2004 vedoucí semináře organizovaného MPS JČMF a KMa PdF MU Brno Podíl na přípravě a organizaci konferencí Equadiff 1998 Brno, Borůvka Mathematical Symposium 1999 Valtice, CDDE 2000 Brno, CDDE 2002 Brno, The International Conference The Decidable and the Undecidable in Mathematics Education, Brno 2003. Člen organizačního výboru ICDEA 2003 Brno a CDDE 2006 Brno Člen American Mathematical Society Člen International Society of Difference Equations Člen oborové rady PdF UK (od 2007) Editor sborniku CDDE 2006 CITACE ------ *** 5 (1 v dizertaci) [1] O. Došlý, P. Řehák; Conjugacy criteria for second order linear difference equations, Arch. Math. 34 (1998), 301--310. R.~P.~Agarwal; Difference Equations and Inequalities, Theory, Methods and Applications, Second Edition, M.~Dekker, New York-Basel, 2000. R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. I. Kumari, S. Umamaheswaram; Conjugacy criteria for a linear second order difference equation, Dynam. Systems Appl. 8 (1999), 533--546. S. Pechancova, Phases and oscillation theory of second order difference equations, PhD thesis MU 2007 Conjugacy and phases for second order linear difference equation - all 2 versions ť Z Došlá, Š Pechancová - Computers & Mathematics with Applications, 2007 ----------------------------------------------------------------------------- [2] P. Řehák; A Reid type roundabout theorem for second order half-linear difference equations and some of its applications, Proceedings of 4th ICDEA (Poznaň 1998), Gordon and Breach Science Publ., Amsterdam 2000, 327--335. ----------------------------------------------------------------------------- *** 2 [3] P. Řehák; Half-linear discrete oscillation theory, In: Proceedings of the 6th Colloquium on the Qualitative Theory of Differential Equations (Szeged, 1999), Electron. J. Qual. Theory Differ. Equ., No. 5 (electronic), Szeged, 15 s., 2000. El-Morshedy HA, Grace SR Comparison theorems for second order nonlinear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 306 (1): 106-121 JUN 1 2005 R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. ----------------------------------------------------------------------------- *** 6 [4] P. Řehák; Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations, J. Math. Anal. Appl. 252 (2000), 813--827. El-Morshedy HA, Grace SR Comparison theorems for second order nonlinear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 306 (1): 106-121 JUN 1 2005 Saker SH Oscillation of second-order perturbed nonlinear difference equations APPLIED MATHEMATICS AND COMPUTATION 144 (2-3): 305-324 DEC 10 2003 R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. Oscillation of second order nonlinear delay difference equations - all 2 versions ť SH Saker - Bull. Korean. Math. Soc, 2003 Agarwal RP, O'Regan D, Saker SH Philos-type oscillation criteria for second order half-linear dynamic equations on time scales ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 37 (4): 1085-1104 2007 ----------------------------------------------------------------------------- *** 13 (1 v dizertaci) [5] P. Řehák; Oscillatory properties of second order half-linear difference equations, Czechoslovak Math. J. 51 (2001), 303--321. Cecchi M, Dosla Z, Marini M Nonoscillatory half-linear difference equations and recessive solutions ADVANCES IN DIFFERENCE EQUATIONS (2): 193-204 2005 El-Morshedy HA, Grace SR Comparison theorems for second order nonlinear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 306 (1): 106-121 JUN 1 2005 Cecchi M, Dosla Z, Marini M, et al. Summation inequalities and half-linear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 302 (1): 1-13 FEB 1 2005 Cecchi M, Dosla Z, Marini M On recessive and dominant solutions for half-linear difference equations JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 10 (9): 797-808 AUG 10 2004 Dosly O, Graef JR, Jaros J Forced oscillation of second order linear and half-linear difference equations PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 131 (9): 2859-2867 2003 R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý; Qualitative theory of half-linear second order differential equations, Math. Bohem. 127 (2002), 181--195. O. Došlý; Oscillation theory of linear differential and difference equations, In Proceedings of Seminar ``Differential Equations 2002'', Pálava 2002. Plzeň : West Bohemia University Press 7, 2002, 7--73. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. R. Mařík; Half-linear differential equations, Ph.D. Dissertation, Masaryk University Brno 2000. R. Mařík; Comparison theorems for half-linear second order difference equations, Arch. Math (Brno) 36 (2000), Proceedings of CDDE 2000 issue, 513--518. R. Mařík; Discrete quadratic functional, vyjde v Arch. Math. (Brno). LINEARIZED RICCATI TECHNIQUE AND (NON) OSCILLATION CRITERIA FOR HALF-LINEAR DIFFERENCE EQUATIONS O DOSLY, S FISNAROVA 2007 ----------------------------------------------------------------------------- *** 12 (3 coaut) [6] O. Došlý, P. Řehák; Nonoscillation criteria for second order half-linear difference equations, Comput. Math. Appl. 42 (2001), 453--464. Cecchi M, Dosla Z, Marini M Nonoscillatory half-linear difference equations and recessive solutions ADVANCES IN DIFFERENCE EQUATIONS (2): 193-204 2005 Sun YG Oscillation and non-oscillation for second-order linear difference equations APPLIED MATHEMATICS AND COMPUTATION 170 (2): 1095-1103 NOV 15 2005 El-Morshedy HA, Grace SR Comparison theorems for second order nonlinear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 306 (1): 106-121 JUN 1 2005 Cecchi M, Dosla Z, Marini M, et al. Summation inequalities and half-linear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 302 (1): 1-13 FEB 1 2005 Cecchi M, Dosla Z, Marini M On recessive and dominant solutions for half-linear difference equations JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 10 (9): 797-808 AUG 10 2004 Sun YG Oscillation and nonoscillation for half-linear second order difference equations INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 35 (2): 133-142 FEB 2004 Saker SH Oscillation of second-order perturbed nonlinear difference equations APPLIED MATHEMATICS AND COMPUTATION 144 (2-3): 305-324 DEC 10 2003 Cecchi M, Dosla Z, Marini M Unbounded solutions of quasi-linear difference equations COMPUTERS & MATHEMATICS WITH APPLICATIONS 45 (6-9): 1113-1123 MAR-MAY 2003 R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý; Oscillation theory of linear difference equations, Arch. Math. 36 (2000), 329--342. O. Došlý; Oscillation theory of linear differential and difference equations, In Proceedings of Seminar ``Differential Equations 2002'', Pálava 2002. Plzeň : West Bohemia University Press 7, 2002, 7--73. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. ----------------------------------------------------------------------------- *** 5 [7] P. Řehák; Generalized discrete Riccati equation and oscillation of half-linear difference equations, Math. Comp. Modelling 34 (2001), 257--269. El-Morshedy HA, Grace SR Comparison theorems for second order nonlinear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 306 (1): 106-121 JUN 1 2005 R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. Kalas, Josef Asymptotic behaviour of a difference equation with complex-valued coefficients. Arch. Math. (Brno) 41 (2005), no. 3, 311--323. Agarwal, Ravi P.; O'Regan, Donal; Saker, S. H. Philos-type oscillation criteria for second order half-linear dynamic equations on time scales. Rocky Mountain J. Math. 37 (2007), no. 4, 1085--1104 ----------------------------------------------------------------------------- *** 3 [8] P. Řehák; Oscillation criteria for second order half-linear difference equations, J. Difference Equ. Appl. 7 (2001), 483--505. El-Morshedy HA, Grace SR Comparison theorems for second order nonlinear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 306 (1): 106-121 JUN 1 2005 R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. ----------------------------------------------------------------------------- *** 3 [9] P. Řehák; Oscillation and nonoscillation criteria for second order linear difference equations, Fasciculi Mathematici 31 (2001), 71--89. R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. Oplu\v stil, Zden\v ek; Pospí\v sil, Zden\v ek An oscillation criterion for a dynamic Sturm-Liouville equation. Proceedings of the Sixth International Conference on Difference Equations, 317--324, CRC, Boca Raton, FL, 2004. ----------------------------------------------------------------------------- [10] M. Marini, S. Matucci, P. Řehák; On decay of coupled nonlinear differential systems, Adv. Math. Sci. Appl. 12 (2002), 521--533. ----------------------------------------------------------------------------- *** 2 [11] P. Řehák; Comparison theorems and strong oscillation in the half-linear discrete oscillation theory, Rocky Mountain Journal of Math. 33 (2003), 333--352. R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. ----------------------------------------------------------------------------- *** 7 [12] P. Řehák; Half-linear dynamic equations on time scales: IVP and oscillatory properties, J. Nonlinear Functional Analysis and Appl. 7 (2002), 361--404. Erbe L, Peterson A, Saker SH Hille-Kneser-type criteria for second-order dynamic equations on time scales ADVANCES IN DIFFERENCE EQUATIONS : Art. No. 51401 2006 Del Medico A, Kong QK New Kamenev-type oscillation criteria for second-order differential equations on a measure chain COMPUTERS & MATHEMATICS WITH APPLICATIONS 50 (8-9): 1211-1230 OCT-NOV 2005 Akin-Bohner E Positive decreasing solutions of quasilinear dynamic equations MATHEMATICAL AND COMPUTER MODELLING 43 (3-4): 283-293 FEB 2006 Erbe L, Peterson A Comparison theorems of Hille-Wintner type for dynamic equations on time scales PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 133 (11): 3243-3253 2005 O. Došlý; Oscillation theory of linear differential and difference equations, In Proceedings of Seminar ``Differential Equations 2002'', Pálava 2002. Plzeň : West Bohemia University Press 7, 2002, 7--73. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. O. Došlý, D. Marek; Half-linear dynamic equations with mixed derivatives, Electronic Journal of Differential Equations 2005 (2005), No. 90, 1--18. ----------------------------------------------------------------------------- [13] M. Marini, S. Matucci, P. Řehák; Nonoscillatory solutions for nonlinear discrete systems, In: Proceedings of Equadiff 10 (Prague, 2001) CD ROM (2002), 289--296. ----------------------------------------------------------------------------- [14] M. Marini, S. Matucci, P. Řehák; Zero convergent solutions for a class of p-laplacian systems, In: Proceedings of Equadiff 10 (Prague, 2001) CD ROM (2002), 279--287. ----------------------------------------------------------------------------- *** 15 (9 coaut) [15] L. Erbe, A. Peterson, P. Řehák; Comparison theorems for linear dynamic equations on time scales, J. Math. Anal. Appl. 275 (2002), 418--438. Saker SH Boundedness of solutions of second-order forced nonlinear dynamic equations ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 36 (6): 2027-2039 2006 Erbe L, Peterson A, Saker SH Kamenev-type oscillation criteria for second-order linear delay dynamic equations DYNAMIC SYSTEMS AND APPLICATIONS 15 (1): 65-78 MAR 2006 Erbe L, Peterson A Comparison theorems of Hille-Wintner type for dynamic equations on time scales PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 133 (11): 3243-3253 2005 Erbe L, Peterson A, Saker SH Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 181 (1): 92-102 SEP 1 2005 Zhang BG, Zhu SL Oscillation of second-order nonlinear delay dynamic equations on time scales COMPUTERS & MATHEMATICS WITH APPLICATIONS 49 (4): 599-609 FEB 2005 Erbe L, Peterson A Some recent results in linear and nonlinear oscillation DYNAMIC SYSTEMS AND APPLICATIONS 13 (3-4): 381-395 SEP-DEC 2004 Bohner M, Erbe L, Peterson A Oscillation for nonlinear second order dynamic equations on a time scale JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 301 (2): 491-507 JAN 15 2005 Del Medico A, Kong QK Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 294 (2): 621-643 JUN 15 2004 Erbe L, Peterson A Boundedness and oscillation for nonlinear dynamic equations on a time scale PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 132 (3): 735-744 2004 Hilscher R, Zeidan V Calculus of variations on time scales: weak local piecewise C-rd(1) solutions with variable endpoints JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 289 (1): 143-166 JAN 1 2004 Erbe L, Peterson A, Saker SH Oscillation criteria for second-order nonlinear dynamic equations on time scales JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 67: 701-714 Part 3 JUN 2003 Erbe, Lynn; Peterson, Allan An oscillation result for a nonlinear dynamic equation on a time scale. Can. Appl. Math. Q. 11 (2003), no. 2, 143--157. A. Gray, D. Lovit, S. Spriggs; Oscillation theorems for a self-adjoint dynamic equation on time scales, PanAmerican Journal 15 (2005), 49--64. Akin-Bohner, Elvan; Bohner, Martin; Saker, Samir H. Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Electron. Trans. Numer. Anal. 27 (2007), 1--12 Erbe, Lynn; Peterson, Allan Recent results concerning dynamic equations on time scales. Electron. Trans. Numer. Anal. 27 (2007), 51--70 ----------------------------------------------------------------------------- *** 4 [16] O. Došlý, P. Řehák; Recessive solution of half-linear second order difference equations, J. Differ. Equ. Appl. 9 (2003), 49--61. Cecchi M, Dosla Z, Marini M Nonoscillatory half-linear difference equations and recessive solutions ADVANCES IN DIFFERENCE EQUATIONS (2): 193-204 2005 El-Morshedy HA, Grace SR Comparison theorems for second order nonlinear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 306 (1): 106-121 JUN 1 2005 Cecchi M, Dosla Z, Marini M, et al. Summation inequalities and half-linear difference equations JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 302 (1): 1-13 FEB 1 2005 Cecchi M, Dosla Z, Marini M On recessive and dominant solutions for half-linear difference equations JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 10 (9): 797-808 AUG 10 2004 ----------------------------------------------------------------------------- *** 3 (1 coaut) [17] R. Hilscher, P. Řehák; Riccati inequality, disconjugacy and reciprocity principle for linear Hamiltonian dynamic systems, Dynam. Systems Appl. 12 (2003), 171--189. Hischer R, Ruzickova V Riccati inequality and other results for discrete symplectic systems JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 322 (2): 1083-1098 OCT 15 2006 Do\v sl\'y, Ond\v rej; Marek, Daniel Even-order linear dynamic equations with mixed derivatives. Comput. Math. Appl. 53 (2007), no. 7, 1140--1152. Dosly O Reciprocity principle for even-order dynamic equations with mixed derivatives DYNAMIC SYSTEMS AND APPLICATIONS 16 (4): 697-708 DEC 2007 ----------------------------------------------------------------------------- *** 8 (1 coaut) [18] R.P. Agarwal, M. Bohner, P. Řehák; Half-linear dynamic equations, In Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday, R. P. Agarwal, D. O'Regan editors, Dordrecht: Kluwer Academic Publishers, 2003, 1--56. R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. O. Došlý, D. Marek; Half-linear dynamic equations with mixed derivatives, Electronic Journal of Differential Equations 2005 (2005), No. 90, 1--18. Eigenvalue problem for p-Laplacian three-point boundary value problems on time scales - all 3 versions ť HR Sun, LT Tang, YH Wang - Journal of Mathematical Analysis and Applications, 2007 - Elsevier Several existence theorems of nonlinear m-point boundary value problem for p-Laplacian dynamic … Y Sang, H Su - Journal of Mathematical Analysis and Applications, 2008 - Elsevier CLASSIFICATION AND EXISTENCE OF POSITIVE SOLUTIONS TO NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES - all 36 versions ť C HUANG, WANT LI - Electronic Journal of Differential Equations, 2004 Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on … HR Sun, WT Li - Journal of Differential Equations, 2007 - Elsevier nejaka acta math sinica 49, 2006 ----------------------------------------------------------------------------- [19] M. Marini, S. Matucci, P. Řehák; Strongly decaying solutions of nonlinear forced discrete systems, In: B. Aulbach, S. Elaydi, and G. Ladas, editors, Conference Proceedings of the Sixth International Conference on Difference Equations, Augsburg, 2001, Taylor and Francis, FL, USA: CRC, Boca Raton, 2004, 493--500. ----------------------------------------------------------------------------- *** 2 [20] P. Řehák; On certain comparison theorems for half-linear dynamic equations on time scales, Abstr. Appl. Anal. 7 (2004), 551--565. O. Došlý; Half-Linear Differential Equations, In Handbook of Differential Equations: Ordinary Differential Equations, I. Amsterdam: Elsevier, 2004, 161--357. O. Došlý, D. Marek; Half-linear dynamic equations with mixed derivatives, Electronic Journal of Differential Equations 2005 (2005), No. 90, 1--18. ----------------------------------------------------------------------------- [21] L. Malaguti, P. Řehák, V. Taddei; Bounded solutions and wavefronts for discrete dynamics, Comp. Math. Appl. 47 (2004), 1079--1094. ----------------------------------------------------------------------------- [22] M. Marini, S. Matucci, P. Řehák; Oscillation of coupled nonlinear discrete systems, J. Math. Anal. Appl. 295 (2004) 459--472. ----------------------------------------------------------------------------- [23] P. Řehák; Opial and Lypaunov type inequalities for half-linear dynamic equations, Dynam. Systems Appl. 13 (2004), 445--458. ----------------------------------------------------------------------------- *** 2 [24] P. Řehák; Hardy inequality on time scales and its application to half-linear dynamic equations, J. Inequal. Appl. 5 (2005), 495--507. Zhao CJ, Cheung WS Inverses of new Hilbert-Pachpatte-type inequalities JOURNAL OF INEQUALITIES AND APPLICATIONS : Art. No. 97860 2006 Ozkan, Yildrim, Hardy-Knopp-type inequalities on time scales, Dynamic Systems and Applications 17 (2008) 477-486 ----------------------------------------------------------------------------- [25] S. Matucci, P. Řehák; Necessary and sufficient conditions for oscillation of coupled nonlinear discrete systems, In: Difference Equations and Discrete Dynamical Systems, Proc. of 9th ICDEA, Los Angeles, 2004, Singapore: World Scientific, 2005, 171--183. ----------------------------------------------------------------------------- [26] P. Řehák; Function sequence technique for half-linear dynamic equations on time scales, Panamer. Math. J. 16 (2006), 31--56. ----------------------------------------------------------------------------- [27] M. Marini, S. Matucci, P. Řehák; Boundary value problems for functional difference equations on infinite intervals, Adv. Differ. Equ. 2006 (2006), 1--14. ----------------------------------------------------------------------------- [28] P. Řehák, V. Taddei; Existence of positive decaying solutions for nonlinear singular second order equations, přijato. ----------------------------------------------------------------------------- [29] M. Marini, S. Matucci, P. Řehák; Asymptotic boundary value problems for discrete systems, přijato v Proc. of ICDESFA, Mnichov, 2005. ----------------------------------------------------------------------------- *** 1 [30] P. Řehák; How the constants in Hille-Nehari theorems depend on time scales, Adv. Differ. Equ., 2006 (2006), 1--15. Erbe L, Peterson A, Saker SH Hille-Kneser-type criteria for second-order dynamic equations on time scales ADVANCES IN DIFFERENCE EQUATIONS : Art. No. 51401 2006 ----------------------------------------------------------------------------- [32] L. Erbe, A. Peterson, P. Řehák; Integral comparison theorems for second order linear dynamic equations, přijato v Proc. of ICDESFA, Mnichov, 2005. ----------------------------------------------------------------------------- [33] P. Řehák; A Willett type criterion with the best possible constant for linear dynamic equations, přijato v Proc. of ICDEA, Kyoto, 2006. ----------------------------------------------------------------------------- [34] S. Matucci, P. Řehák; Nonoscillatory solutions of a second order nonlinear discrete system, přijato v Appl. Math. Comp. ----------------------------------------------------------------------------- [35] S. Matucci, P. Řehák; Regularly varying sequences and second order difference equations, přijato v J. Difference Equ. Appl. Články předložené ----------------- P. Řehák; A critical oscillation constant as a variable of time scales for half-linear dynamic equations, předloženo (2007). P. Řehák, Regular variation on time scales and dynamic equations, předloženo (2007). Monografie ---------- *** 21 (2 coaut) (1 v dizertaci) [1] O. Došlý, P. Řehák; Half-linear Differential Equations, Elsevier, North Holland, 2005, xiv+517 s. Erbe, L.(1-NE); Peterson, A.(1-NE); Saker, S. H.(ET-MANSS) Hille-Kneser-type criteria for second-order dynamic equations on time scales. (English summary) Adv. Difference Equ. 2006, Art. ID 51401, 18 pp. Cecchi, Mariella; Do\v slá, Zuzana; Marini, Mauro Limit and integral properties of principal solutions for half-linear differential equations. Arch. Math. (Brno) 43 (2007), no. 1, 75--86. De Napoli, Pablo L.(RA-UBAS); Pinasco, Juan P. Eigenvalues of the $p$-Laplacian and disconjugacy criteria. (English summary) J. Inequal. Appl. 2006, Art. ID 37191, 8 pp. Cabada, Alberto; Lomtatidze, Alexander; Tvrd\'y, Milan Periodic problem involving quasilinear differential operator and weak singularity. Adv. Nonlinear Stud. 7 (2007), no. 4, 629--649. ON EXISTENCE OF PROPER SOLUTIONS OF QUASILINEAR SECOND ORDER DIFFERENTIAL EQUATIONS - all 2 versions ť M Bartusek, E Pekarkova - math.u-szeged.hu Electronic Journal of Qualitative Theory of Differential Equations 2007, No. 5, 1-14; Lyapunov-type inequalities for nonlinear systems A Tiryaki, M Unal, D Cakmak - Journal of Mathematical Analysis and Applications 2007 Reznickova, Hille-Nehari nonoscillation criteria for HLdE, Zilina Half-linear differential equations: Linearization technique and its application. O Došlý, M Ünal - J. Math. Anal. Appl, 2007 - Elsevier Existence of positive solutions of halflinear delay differential equation - H Péics, J Karsai - Journal of Mathematical Analysis and Applications, 2006 Corrigendum to Half-linear equations and characteristic properties of the principal solution M Cecchi, Z Došlá, M Marini - J. Differential Equations, 2006 Mehmet, CDDE 2006 Yoshida, CDDE 2006 Bognar, CDDE 2006 Reznickova, CDDE 2006 Patikova, CDDE 2006 Dosly, A remark on the linearization technique in half-linear oscillation theory. Opuscula Math. 26 (2006), no. 2, 305--315. cecchi, dosla, marini, intermediate solutions for emden-fowler type equations: continuous versus discrete, ADSA (to peterson 65th birthday) Z. Patikova, Ph.D. dizertace Variational Oscillation Criteria for Nonlinear Nonhomogeneous Differential Equations Z Zheng, SS Cheng - Applied Mathematics E-Notes, 2007 A nonoscillation theorem for half-linear differential equations with periodic coefficients J Sugie, K Matsumura - Applied Mathematics and Computation, 2007 - Elsevier Mařík, Robert Ordinary differential equations in the oscillation theory of partial half-linear differential equation. Journal of Mathematical Analysis and Applications. 2008. sv. 338, č. 338, s. 194--208. ---------------------------------------------------------------------------- Další texty ----------- [1] P. Řehák; Oscilační teorie lineárních diferenčních rovnic, diplomová práce, PřF MU Brno 1997. ----------------------------------------------------------------------------- *** 4 [2] P. Řehák; Half-linear discrete oscillation theory, dizertační práce, PřF MU Brno 2000, rovněž se objevilo v Applied Mathematics E-Notes, \\ \verb+http://www.math.nthu.edu.tw/~amen/+. Akin-Bohner E Positive decreasing solutions of quasilinear dynamic equations MATHEMATICAL AND COMPUTER MODELLING 43 (3-4): 283-293 FEB 2006 R. P. Agarwal, M. Bohner, S. R. Grace, D. O'Regan; Discrete Oscillation Theory, Contemporary Mathematics and Its Applications, Hindawi Publ. Corp. 2005. M. Bohner, A. Peterson; Dynamic Equations on Time Scales: In Introduction with Applications, Birkh\"auser, Boston, 2001. M. Bohner, A. Peterson; Dynamic Equations on Time Scales: In Introduction with Applications, Birkh\"auser, Boston, 2001. ----------------------------------------------------------------------------- [3] P. Řehák; Time scales -- sjednocení spojité a diskrétní analýzy In: XIX. vědecké kolokvium ŘOP Vyškov -- sborník (2001), 319--324. ----------------------------------------------------------------------------- *** 1 [4] P. Řehák; Half-linear dynamic equations on time scales, habilitační práce, PřF MU Brno 2006. Erbe L, Peterson A, Saker SH Hille-Kneser-type criteria for second-order dynamic equations on time scales ADVANCES IN DIFFERENCE EQUATIONS : Art. No. 51401 2006