Approximate controllability of semilinear impulsive functional differential systems with non-local conditions-Reference-Cited by-同舟云学术

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

Published:2020-02-04 Issue:4 Volume:37 Page:1070-1088
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

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

Link

http://academic.oup.com/imamci/article-pdf/37/4/1070/34912187/dnz037.pdf

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3. Approximate controllability of impulsive fractional integro-differential systems with nonlocal conditions in Hilbert space;Balasubramaniam;Numer. Funct. Anal. Optim.,2014