EXISTENCE OF SOLUTIONS FOR IMPULSIVE PARTIAL NEUTRAL FUNCTIONAL EVOLUTION INTEGRODIFFERENTIAL INCLUSIONS WITH INFINITE DELAY

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Date
2013
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International Journal of Pure and Applied Mathematics
Abstract
This paper investigates a class of impulsive partial neutral func- tional integrodifferential evolution inclusions with infinite delay in Banach spaces. The existence of mild solutions of these inclusions is determined under the mixed Lipschitz and Caratheodory conditions by using another nonlinear alternative of Leray-Schauder type for multivalued maps due to D. O’Regan. At the end, one example is presented. AMS Subject Classification: 34A60, 34A37, 34G25, 34B15
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doi: http://dx.doi.org/10.12732/ijpam.v85i5.12