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

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