Author： Chang Yong-Kui
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.30, Iss.3-4, 2009-03, pp. : 227-244
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Abstract
This paper is mainly concerned with existence of mild solutions for first-order impulsive neutral integro-differential inclusions with nonlocal initial conditions in α-norm. We assume that the undelayed part generates an analytic resolvent operator and transforms it into an integral equation. By using a fixed point theorem for condensing multivalued maps, a main existence theorem is established. As an application of this main theorem, a practical consequence is derived for the sublinear growth case. Finally, we present an application to a neutral partial integro-differential equation with Dirichlet and nonlocal initial conditions.
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