MATHEMATICA BOHEMICA, Vol. 127, No. 4, pp. 613-622, 2002

Existence of mild solutions of second order initial value problems for delay integrodifferential inclusions with nonlocal conditions

M. Benchohra, S. K. Ntouyas

M. Benchohra, Department of Mathematics, University of Sidi Bel Abbes, BP 89, 22000 Sidi Bel Abbes, Algeria, e-mail: benchohra@yahoo.com; S. K. Ntouyas, Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece, e-mail: sntouyas@cc.uoi.gr

Abstract: In this paper we investigate the existence of mild solutions to second order initial value problems for a class of delay integrodifferential inclusions with nonlocal conditions. We rely on a fixed point theorem for condensing maps due to Martelli.

Keywords: initial value problems, convex multivalued map, mild solution, evolution inclusion, nonlocal condition, fixed point

Classification (MSC 2000): 34A60, 34G20, 35R10, 47H20

Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).

Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade. To activate your access, please contact Myris Trade at myris@myris.cz.

[Previous Article] [Contents of This Number] [Contents of Mathematica Bohemica]
[Full text of the older issues of Mathematica Bohemica at DML-CZ]