Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXISTENCE FOR A NONLINEAR IMPULSIVE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACES

  • Yan, Zuomao (Department of Mathematics, Hexi University)
  • Received : 2010.06.28
  • Accepted : 2010.07.19
  • Published : 2011.05.30
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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.

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References

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