Approximate Controllability of impulsive neutral integro-differential equations with deviated arguments and infinite delay in Banach spaces
Authors :
Venkatesh Usha 1 * and Mani Mallika Arjunan 2
Author Address :
1 Department of Mathematics, PSG College of Arts and Science, Coimbatore - 641 014, Tamil Nadu, India.
2 Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India.
*Corresponding author.
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.
DOI :
Article Info :
Received : March 12, 2019; Accepted : June 09, 2019.
