Controllabillity of second-order Sobolev-type neutral impulsive integrodifferential systems in Banach spaces

In this article, we prove sufficient conditions for the controllability of second-order Sobolev-type nonlinear neutral impulsive integrodifferential systems in Banach spaces. The results are obtained by using strongly continuous cosine families of operators and the fixed point approach. An applicati...

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Bibliographic Details
Published in:Electronic journal of differential equations 2016-09, Vol.2016 (259), p.1-18
Main Authors: Bheeman Radhakrishan, Paraman Anukokila
Format: Article
Language:English
Subjects:
Controllability
fixed point theorem
impulsive differential equation
neutral integrodifferential system
Online Access:Get full text
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Summary:In this article, we prove sufficient conditions for the controllability of second-order Sobolev-type nonlinear neutral impulsive integrodifferential systems in Banach spaces. The results are obtained by using strongly continuous cosine families of operators and the fixed point approach. An application is provided to illustrate the theory.
ISSN:1072-6691