Approximate controllability of nonautonomous nonlocal delay differential equations with deviating arguments

Date

2017-04-26

Authors

Haloi, Rajib

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Publisher

Texas State University, Department of Mathematics

Abstract

The objective of this article is to prove sufficient conditions for the approximate controllability for a class of nonautonomous nonlocal finite delay differential equations with deviating arguments in a Hilbert space. We also establish sufficient conditions for the existence of mild solutions. The results are established using the fixed point theorem of Krasnoselskii and theory of semigroup of bounded linear operators. We discuss an example for the application of the analytical results.

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Keywords

Approximate controllability, Deviating arguments, Delay equation, Krasnoselskii's fixed point theorem

Citation

Haloi, R. (2017). Approximate controllability of nonautonomous nonlocal delay differential equations with deviating arguments. <i>Electronic Journal of Differential Equations, 2017</i>(111), pp. 1-12.

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Attribution 4.0 International

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