Approximate controllability of semilinear impulsive functional differential systems with non-local conditions

Author:

Arora Sumit1,Singh Soniya1,Dabas Jaydev1,Mohan Manil T2

Affiliation:

1. Department of Applied Sciences and Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, India

2. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

Abstract

AbstractThis paper is concerned with the approximate controllability of semilinear impulsive functional differential systems in Hilbert spaces with non-local conditions. We establish sufficient conditions for approximate controllability of such systems via resolvent operator and Schauder’s fixed point theorem. An application involving the impulse effect associated with delay and non-local conditions is presented to verify our claimed results.

Funder

Council of Scientific and Industrial Research, New Delhi, Government of India

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Reference31 articles.

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