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A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness
Journal article   Open access  Peer reviewed

A study of nonlocal problems of impulsive integrodifferential equations with measure of noncompactness

Bashir Ahmad, Kandasamy Malar and Kulandhaivel Karthikeyan
Advances in difference equations, Vol.2013(1), p.205
09/07/2013
DOI: https://doi.org/10.1186/1687-1847-2013-205

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we show the existence of mild solutions to a nonlocal problem of impulsive integrodifferential equations via a measure of noncompactness in a Banach space. Our work is based on a new fixed point theorem and it generalizes some existing results on the topic in the sense that we do not require the semigroup and nonlinearity involved in the problem to be compact.
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https://doi.org/10.1186/1687-1847-2013-205View
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