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http://dx.doi.org/10.14317/jami.2011.29.3_4.681

EXISTENCE FOR A NONLINEAR IMPULSIVE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACES  

Yan, Zuomao (Department of Mathematics, Hexi University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 681-696 More about this Journal
Abstract
In this paper, we consider the existence of mild solutions for a certain class of nonlinear impulsive functional evolution integrodifferential equation with nonlocal conditions in Banach spaces. A sufficient condition is established by using Schaefer's fixed point theorem combined with an evolution system. An example is also given to illustrate our result.
Keywords
Nonlinear impulsive functional integro differential equations; Fixed point; Linear evolution system; Nonlocal conditions;
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