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Existence Results for Second Order Integrodifferential Inclusions with Non Local Conditions

Mohamed Bahaj, Ilias Cherti

Abstract



In this paper we investigate the existence of mild solutions to second order initial values problems for a class of integrodifferential inclusions with nonlocal conditions. The results are obtained by using the theory of continuous cosine families and a fixed point theorem for condensing maps due to Martelli.

Keywords


Convex multivalued map, integrodifferential inclusion with nonlocal conditions cosine operators, Martelli’s theorem.

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