Approximate controllability of quasilinear functional differential equations

Date

2019-05-08

Authors

Chutia, Duranta
Haloi, Rajib

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study the approximate controllability for quasilinear differential equations with deviating arguments in a Hilbert space. We establish sufficient conditions for the existence of a mild solution. We also obtain sufficient conditions for the controllability of quasilinear equations. Further, we use it to establish the approximate controllability for quasilinear differential equations with deviating arguments. We discuss examples in which the analytical results are applied.

Description

Keywords

Quasilienar equations, Approximate controllability, Deviating arguments, Krasnoselskii's fixed point theorem

Citation

Chutia, D., & Haloi, R. (2019). Approximate controllability of quasilinear functional differential equations. <i>Electronic Journal of Differential Equations, 2019</i>(63), pp. 1-14.

Rights

Attribution 4.0 International

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