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http://dx.doi.org/10.14317/jami.2012.30.1_2.057

SOLVABILITY OF IMPULSIVE NEUTRAL FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH STATE DEPENDENT DELAY  

Karthikeyan, K. (Department of Mathematics, KSR College of Technology)
Anguraj, A. (Department of Mathematics, PSG College of Arts and Science)
Publication Information
Journal of applied mathematics & informatics / v.30, no.1_2, 2012 , pp. 57-69 More about this Journal
Abstract
In this paper, we prove the existence of mild solutions for a first order impulsive neutral differential inclusion with state dependent delay. We assume that the state-dependent delay part generates an analytic resolvent operator and transforms it into an integral equation. By using a fixed point theorem for condensing multi-valued maps, a main existence theorem is established.
Keywords
Impulsive neutral functional intero-differential inclusions; Analytic resolvent; state-dependent delay; fixed point;
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