Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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EXISTENCE OF SOLUTIONS FOR DOUBLE PERTURBED IMPULSIVE NEUTRAL FUNCTIONAL EVOLUTION EQUATIONS

  • Vijayakumar, V. (Department of mathematics, info institute of engineering) ;
  • Sivasankaran, S. (Department of mathematics, sungkyunkwan university) ;
  • Arjunan, M. Mallika (Department of mathematics, karunya university)
  • Received : 2010.10.01
  • Accepted : 2011.11.18
  • Published : 2011.12.25
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Abstract

In this paper, we study the existence of mild solutions for double perturbed impulsive neutral functional evolution equations with infinite delay in Banach spaces. The existence of mild solutions to such equations is obtained by using the theory of the Hausdorff measure of noncompactness and Darbo fixed point theorem, without the compactness assumption on associated evolution system. An example is provided to illustrate the theory.

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References

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