Approximate controllability of semi-linear stochastic integro-differential equations with infinite delay-Reference-Cited by-同舟云学术

Approximate controllability of semi-linear stochastic integro-differential equations with infinite delay

Published:2020-02-18 Issue:4 Volume:37 Page:1133-1167
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Huang Hai¹,Fu Xianlong¹

Affiliation:

1. School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai 200241, P. R. China

Abstract

Abstract In this work, by constructing fundamental solutions and using the theory of resolvent operators and fractional powers of operators, we study the approximate controllability of a class of semi-linear stochastic integro-differential equations with infinite delay in $L_p$ space ($2<p<\infty $). Sufficient conditions for approximate controllability of the discussed equations are obtained under the assumption that the associated deterministic linear system is approximately controllable. An example is provided to illustrate the obtained results.

Funder

National Science Foundation

Science and Technology Commission of Shanghai Municipality

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://academic.oup.com/imamci/article-pdf/37/4/1133/34912219/dnz040.pdf

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