Journal of Control Theory and Applications

, Volume 10, Issue 1, pp 28–34

Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions

Article

DOI: 10.1007/s11768-012-0188-6

Cite this article as:
Radhakrishnan, B. & Balachandran, K. J. Control Theory Appl. (2012) 10: 28. doi:10.1007/s11768-012-0188-6

Abstract

In this paper, we establish sufficient conditions for the controllability of a class of semilinear impulsive integrodifferential systems with nonlocal initial conditions in Banach spaces. We derive the conditions using Hausdorff measure of noncompactness, Sadovskii fixed point theorem and operator semigroups in particular dropping compactness of the operator.

Keywords

Controllability Impulsive integrodifferential system Evolution operator Nonlocal initial conditions Condensing operator Sadovskii fixed point theorem Semigroup theory 

Copyright information

© South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsBharathiar UniversityCoimbatoreIndia

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