Approximate controllability of impulsive neutral integro-differential equations with deviated arguments and infinite delay in Banach spaces

Venkatesh Usha; Mani Mallika Arjunan

doi:10.26637/MJM0703/0013

Abstract

In this paper we discussed about the approximate controllability of impulsive neutral integro-differential equations with deviated arguments and infinite delay. In the nonlinear term, we introduce the control parameter. The invertibility of the operator in infinite dimensional spaces is not possible if the generated semigroup is compact. So we remove to assume that concept and there is no need of Lipschitz continuity of nonlinear function. Finally suitable example is also given

Keywords:

Controllability, Impulsive differential equations, Fixed point theorem, Neutral equations, Nonlinear equations

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Venkatesh Usha Department of Mathematics, PSG College of Arts and Science, Coimbatore - 641 014, Tamil Nadu, India.
Mani Mallika Arjunan Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India.

Pages: 440-450
Date Published: 01-07-2019
Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

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