Singularities and Laplacians in Boundary Value Problems
for Nonlinear Ordinary Differential Equations.
In: Handbook of Differential Equations (Ordinary Differential Equations) Vol.3]
pp. 605-721. (See PREPRINT.)
Periodic problem with quasilinear differential operator and weak singularity.
Advanced Nonlinear Studies7 (2007), 629-649.
(See PREPRINT.)
Rachůnková I., Tvrdý M.
Periodic singular problem with quasilinear differential operator,
Mathematica Bohemica131 (2006), 321-336. (See PREPRINT.)
Rachůnková I., Tvrdý M.
Second order periodic problem with phi-Laplacian and impulses.
Nonlinear Analysis, T.M.A.63 (2005), e257-e266.
(See PREPRINT.)
Rachůnková I., Tvrdý M.
Periodic problems with phi-Laplacian involving non-ordered
lower and upper functions.
Fixed Point Theory6 (2005), 99-112.
(See PREPRINT.)
Rachůnková I., Tvrdý M.
Existence results for impulsive second order periodic problems.
Nonlinear Analysis, T.M.A.59 (2004), 133-146.
(See PREPRINT.)
Rachůnková I., Tvrdý M.
Non-Ordered Lower and Upper Functions in Second Order Impulsive
Periodic problems. Dynamics of Continuous, Discrete and Impulsive
Systems, Ser. A Math. Anal. 12 (2005), no. 3-4, 397-415.
(See PREPRINT.)
Rachůnková I., Tvrdý M.
Construction of non-constant lower and upper functions for
impulsive periodic problems. Electronic Journal of Qualitative
Theory of Differential Equations, (Proceedings of the 7'th
Colloquium on the Qualitative Theory of Differential Equations, Szeged,
Hungary) No.19, 1-8.
[PS][PDF]
Resonance and multiplicity in periodic booundary value problems
with singularity. Mathematica
Bohemica128 (2003), 45-70. (See PREPRINT.)
Rachůnková I., Tvrdý M.
Impulsive Periodic Boundary Value Problem and Topological
Degree. Functional Differential Equations, Israel Seminar9 (2002), No.3-4, 471-498. (See PREPRINT.)
Rachůnková I., Tvrdý M.
Localization of nonsmooth lower and upper functions for periodic
boundary value problems.
Mathematica Bohemica127 (2002), 531-545. (See PREPRINT.)
Rachůnková I., Tvrdý M., Vrkoč I.
Existence of nonnegative and nonpositive solutions for second
order periodic boundary value problems.
Journal of Differential Equations176 (2001), 445-469. (See PREPRINT.)
Rachůnková I., Tvrdý M.
Construction of lower and upper functions and their application
to regular and singular periodic boundary value problems. Nonlinear
Analysis TMA, 47 (2001), 3937-3948. (See PREPRINT.)
Rachůnková I., Tvrdý M.
Nonlinear systems of differential inequalities and solvability
of certain nonlinear second order boundary value problems. Journal
of Inequalities and Applications6 (2001), 199-226.
(See PREPRINT.)
Rachůnková I., Tvrdý M.
Method of lower and upper functions and the existence of
solutions to singular periodic problems for second order nonlinear differential
equations. Mathematical Notes Miskolc1(2000),
135-143. (See PREPRINT.)
Tvrdý M.
Linear boundary value problems for generalized differential
equations. Annales Mathematicae Silesiane14
(2000), 51-80. [PS][PDF]
Ligęza J., Tvrdý M.
On systems of linear algebraic equations in the Colombeau
algebra. Mathematica Bohemica124(1999),
1-14. [PS][PDF]
Tvrdý M.
On the continuous dependence on a parameter of solutions of
initial value problems for linear generalized differential equations.
Functional Differential Equations, Israel
Seminar5(1999), 483-498. [PS][PDF]
Tvrdý M.
Linear integral equations in the space of regulated
functions. Mathematica
Bohemica123 (1998), 177-212. [PS][PDF]
Linear distributional differential equations of the second
order. Mathematica Bohemica119(1994), 415-436.
[PS][PDF]
Pelant M., Tvrdý M.
Linear distributional differential equations in the space of
regulated functions. Mathematica Bohemica118 (1993),
379-400. [PS][PDF]
Tvrdý M.
Generalized differential equations in the space of regulated
functions (Boundary value problems and controllability).
Mathematica Bohemica116 (1991), 225-244. [PS][PDF]
Tvrdý M.
Regulated functions and the Perron-Stieltjes integral.
Časopis pro pěstování matematiky114 (1989),
187-209. [PS][PDF]
Duality theory for linear n-th order integro-differential
operators with domain in Lp determined by interface side
conditions. Czechoslovak Mathematical Journal32
(107) (1982), 183-196.
Boundary value problems for generalized linear differential
equations. Czechoslovak Mathematical Journal29
(104) (1979), 451-477.
Tvrdý M.
Fredholm-Stieltjes integral equations with linear constraints:
duality theory and Green's function. Časopis pro pěstování
matematiky104 (1979), 357-369.
Tvrdý M.
Note on functional-differential equations with initial functions
of bounded variation. Czechoslovak Mathematical
Journal25 (100) (1975), 67-70.
Tvrdý M.
Linear boundary value type problems for functional-differential
equations and their adjoints. Czechoslovak Mathematical
Journal25 (100) (1975), 37-66.
Tvrdý M.
Boundary value problems for generalized linear
integrodifferential equations with left-continuous solutions.
Časopis pro pěstování matematiky99 (1974), 147-157.
Tvrdý M.
Boundary value problems for linear generalized differential
equations and their adjoints. Czechoslovak Mathematical
Journal23 (98) (1973), 183-217.
On the generalized linear ordinary differential equation.
Časopis pro pěstování matematiky98 (1973), 206-211.
Tvrdý M., Vejvoda O.
General boundary value problem for an integrodifferential system
and its adjoint II. Časopis pro pěstování
matematiky98 (1973), 26-42.
Tvrdý M., Vejvoda O.
General boundary value problem for an integrodifferential system
and its adjoint I. Časopis pro pěstování matematiky97 (1972), 399-419.
Vejvoda O., Tvrdý M.
Existence of solutions to a linear integro-boundary-differential
equation with additional conditions. Annali di Matematica Pura ed
Applicata9 (1971), 169-216.
Tvrdý M.
The normal form and the stability of solutions of a system of
differential equations in the complex domain. Czechoslovak
Mathematical Journal20 (95) (1970), 39-73.
Proceedings of International Conferences
Rachůnková I., Tvrdý M.
Method of lower and upper functions in impulsive periodic
boundary value problems. Proceedings of EQUADIFF 2003 (Hasselt,
Belgium), to appear. [PS][PDF]
Tvrdý M.
Differential and integral equations with regulated solutions.
Proceedings of the "Conference EQUAM"
(Varenna 1992, May 25-29), SAACM3 (1993), 291-304.
[PS][PDF]
Tvrdý M.
On optimal control of systems with interface side
conditions. Equadiff 6 (Proceedings, Brno, August 26-30,
1985), ed. by J. Vosmanský and M. Zlámal), J.E.Purkyně
University, Dept.of Mathematics, Brno and Springer-Verlag,
Berlin-Heidelberg-New York, 1986, 187-190.
Tvrdý M., Vejvoda O.
Periodic solutions of weakly perturbed autonomous
functional-differential equations. Qualitative Methods of the
Theory of Nonlinear Oscillations (Proceedings, Kiev, August
30-September 6, 1981, ed. by Yu. A. Mitropolsky), Naukova
dumka, Kiev, 1984, 375-379.
Tvrdý M.
On the controllability of linear Fredholm-Stieltjes integral
operator. Functional-Differential Systems and related topics
III (Proceedings, Blazejewko, May 22-29, 1983, ed.by Michal
Kisielewicz), The Higher College of Engineering in Zielona
Gora, 1983, 247-252.
On the operator theory of interface boundary value
problems. Functional-Differential Systems and related topics II
(Proceedings, Blazejewko, May 3-10, 1981, ed. by Michal
Kisielewicz), The Higher College of Engineering in Zielona
Gora, 1981, 40-46.
Schwabik Š., Tvrdý M.
On linear problems in the space BV. Equadiff
IV (Proceedings, Prague, August 22-26, 1977, ed. by Jiří
Fabera), Lecture Notes in Mathematics, Springer-Verlag,
Berlin-Heidelberg-New York, 1979, 366-373.
Tvrdý M.
Linear functional-differential operators: normal solvability and
adjoints. Colloquia Mathematica Societatis Janos
Bolyai15(1975), 379-389.
Proceedings of Regional Conferences
Tvrdý M.
Boundary value problems for ordinary differential equations (in
Czech). Matematické metody řešení fyzikálních problémů
(Proceedings, Cikháj, 27 - 31. 05. 1985, ed. J. Nadrchal), Universita
J. E. Purkyně, Katedra matematiky, Brno, 1986, 92-106.
Lecture Notes
Tvrdý M.
Linear integral equations (in Czech). ČSVTS, Praha,
1974, 60 pp.
Research Reports
Beneš V., Kopáčková M., Tvrdý M.
Mathematical solution of the transport equation for determining
longitudinal hydrodynamic dispersivity using the single well tracer pulse
method. Research report, Stavební geologie Praha, 1985, 84 pp.
Various
Jarník J., Schwabik Š., Tvrdý M., Vrkoč I.
Jaroslav Kurzweil šedesátníkem (in Czech). Časopis pro
pěstování matematiky111 (1986), 91-111.
Jarník J., Schwabik Š., Tvrdý M., Vrkoč I.
Sixty years of Jaroslav Kurzweil. Czechoslovak
Mathematical Journal36 (111) (1986), 147-166.
Preprints
Halas Z., Tvrdý M.
Approximated Solutions of Generalized Linear Differential Equations.
[PDF]
Halas Z., Tvrdý M.
Singular Periodic Impulse Problems.
Mathematical Institute, Academy of Sciences of the Czech Republic, Preprint 171 (2007)
[PDF]
Cabada A., Lomtatidze A., Tvrdý M.
Periodic problem with quasilinear differential operator and weak singularity.
Mathematical Institute, Academy of Sciences of the Czech Republic, Preprint 167 (2006)
[corrected and extended version from April 2, 2007].
[PS][PDF]
(Final version published in Advanced Nonlinear Studies7 (2007), 4,
629-649. )
Rachůnková I., Tvrdý M.
Periodic boundary value problem with quasilinear differentiasl operator.
[PS][PDF]
(Final version published in Mathematica Bohemica131 (2006),
321-336. )
Rachůnková I., Stanek S., Tvrdý M.
Singularities and Laplacians in Boundary Value Problems
for Nonlinear Ordinary Differential Equations.
Preliminary version of a chapter submitted for Handbook of Differential Equations
Ordinary Differential Equations) Vol.3]
[PS][PDF]
Rachůnková I., Tvrdý M.
Second order periodic problem with phi-Laplacian and impulses.
Faculty of Science, Palacký University, Preprint 14/2004.
[PS][PDF]
(Final version published in Nonlinear Analysis, T.M.A.. )
Rachůnková I., Tvrdý M.
Periodic problems with phi-Laplacian involving non-ordered
lower and upper functions.
Faculty of Science, Palacký University, Preprint 2004.
[PS][PDF]
(Final version published in Fixed Point Theory6 (2005), 99-112.)
Rachůnková I., Tvrdý M.
Second Order Periodic Problem with phi-Laplacian and Impulses -
Part II. Mathematical Institute, Academy of Sciences of the Czech
Republic, Preprint 156 (2004). [PS][PDF]
Rachůnková I., Tvrdý M.
Second Order Periodic Problem with phi-Laplacian and Impulses -
Part I. Mathematical Institute, Academy of Sciences of the Czech
Republic, Preprint 155 (2004). [PS][PDF]
Rachůnková I., Tvrdý M.
Periodic Boundary Value Problems for Nonlinear Second Order
Differential Equations with Impulses - Part III. Mathematical
Institute, Academy of Sciences of the Czech Republic, Preprint 153
(2003). [PS][PDF]
(Final version entitled "Existence Results for Impulsive Second Order Periodic Problems"
published in Nonlinear Analysis, T.M.A.59 (2004), 133-146.)
Rachůnková I., Tvrdý M.
Periodic Boundary Value Problems for Nonlinear Second Order
Differential Equations with Impulses - Part II. Mathematical
Institute, Academy of Sciences of the Czech Republic, Preprint 151
(2002). [PS][PDF] (Final version entitled "Non-ordered Lower and
Upper Functions in Second Order Impulsive Periodic Problems" accepted to
Dynamics of Continuous, Discrete and Impulsive Systems.)
Rachůnková I., Tvrdý M.
Periodic Boundary Value Problems for Nonlinear Second Order
Differential Equations with Impulses - Part I. Mathematical
Institute, Academy of Sciences of the Czech Republic, Preprint 148
(2002). [PS][PDF] (Final version entitled "Nonmonotone impulse
effects in second-order periodic boundary value problems" published in
Abstract and Applied Analysis2004:7,
577-590.)
Rachůnková I., Tvrdý M.
Impulsive Periodic Boundary Value Problem and Topological
Degree. Faculty of Science, Palacký University, Preprint
9/2002. [PS][PDF] (Final version published in Functional
Differential Equations, Israel Seminar9 (2002), No.3-4,
471-498.)
Rachůnková I., Tvrdý M.
Resonance and multiplicity in periodic booundary value problems
with singularity. Mathematical Institute, Academy of Sciences of
the Czech Republic, Preprint 141 (2001). [PS][PDF] (Final
version published in Mathematica
Bohemica127 (2002), 531-545.)
Rachůnková I., Tvrdý M.
Localization of nonsmooth lower and upper functions for periodic
boundary value problems. Faculty of Science, Palacký University,
Preprint 16/2001. [PS][PDF] (Final version published in Mathematica Bohemica127 (2002), 531-545.)
Rachůnková I., Tvrdý M.
Construction of lower and upper functions and their application
to regular and singular periodic boundary value problems. Faculty
of Science, Palacký University, Preprint 19/2000. [PS][PDF] (Final
version published in Nonlinear Analysis, T.M.A.47
(2001), 3937-3948.)
Rachůnková I., Tvrdý M.
On the construction of nonconstant lower and upper functions to
second order nonlinear periodic boundary value problems.
Mathematical Institute, Academy of Sciences of the Czech Republic,
Preprint 135 (2000). [PS][PDF]
Rachůnková I., Tvrdý M., Vrkoč I.
Existence of nonnegative and nonpositive solutions for second
order periodic boundary value problems. Mathematical Institute,
Academy of Sciences of the Czech Republic, Preprint 134
(1999). [PS][PDF] (Final version published in Journal of Differential
Equations176 (2001), 445-469.)
Rachůnková I., Tvrdý M.
Nonsmooth lower and upper functions and solvability of certain
nonlinear second order BVP's, Faculty of Science, Palacký
University, Preprint 5/1999. [PS][PDF] (Final
version entitled "Nonlinear systems of differential inequalities and
solvability of certain nonlinear second order boundary value problems"
published in Journal of Inequalities and
Applications6 (2001),199-226.)