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http://dx.doi.org/10.12941/jksiam.2012.16.2.093

CONTROLLABILITY RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL SYSTEMS  

Selbi, S. (Department of Mathematics, Muthayammal College of Arts & Science)
Arjunan, M. Mallika (Department of Mathematics, Karunya University)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.16, no.2, 2012 , pp. 93-105 More about this Journal
Abstract
In this paper, we consider the controllability of a certain class of impulsive neutral evolution differential equations in Banach spaces. Sufficient conditions for controllability are obtained by using the Hausdorff measure of noncompactness and Monch fixed point theorem under the assumption of noncompactness of the evolution system.
Keywords
Controllability; Differential equations with impulses; Measures of noncompactness; Semigroup theory; Fixed point;
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