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 (MSC2000): 34A60, 34G20, 35R10, 47H20

Full text of the article:

Compressed PostScript file (132 kilobytes)
PDF file (112 kilobytes)

[Previous Article] [Contents of this Number]