Approximate controllability of non-autonomous evolution system with infinite delay

Parveen Kumar; Ramesh Kumar Vats; Ankit Kumar

doi:10.5269/bspm.63973

Parveen Kumar National Institute of Technology Hamirpur https://orcid.org/0000-0001-8578-557X
Ramesh Kumar Vats National Institute of Technology Hamirpur https://orcid.org/0000-0002-7974-5341
Ankit Kumar Graphic Era Hill University https://orcid.org/0000-0002-8985-6619

Abstract

This article deals with the existence and approximate controllability results for a class of nonautonomous second-order evolution systems with infinite delay. To establish sufficient conditions for the proposed control problem the theory of evolution operator with Schauder’s fixed point theorem is used. Further, we extend the approximate controllability results to the integro-impulsive differential system. Finally, to emphasize our theoretical concepts, an example is provided.

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Author Biographies

Parveen Kumar, National Institute of Technology Hamirpur

Department of Mathematics and Scientific computing

Ramesh Kumar Vats, National Institute of Technology Hamirpur

Department of Mathematics and Scientific computing

Ankit Kumar, Graphic Era Hill University

Department of Mathematics

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