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http://dx.doi.org/10.12941/jksiam.2011.15.4.253

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)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.15, no.4, 2011 , pp. 253-265 More about this Journal
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.
Keywords
Perturbed functional equations; Impulsive neutral evolution equaations; Mild solutions; Phase space; Hausdorff measure of noncompactness;
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