EXISTENCE OF SOLUTIONS FOR IMPULSIVE PARTIAL NEUTRAL FUNCTIONAL EVOLUTION INTEGRODIFFERENTIAL INCLUSIONS WITH INFINITE DELAY
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Date
2013
Journal Title
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Publisher
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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Citation
doi: http://dx.doi.org/10.12732/ijpam.v85i5.12