Duranta Chutia, Rajib Haloi
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.
Submitted July 30, 2018. Published May 8, 2019.
Math Subject Classifications: 35K59, 35K90, 93B05, 93C25.
Key Words: Quasilienar equations; approximate controllability;
deviating arguments; Krasnoselskii's fixed point theorem.
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Duranta Chutia Department of Mathematical Sciences Tezpur University, Sonitpur ASSAM, Pin- 784028, India email: durantachutia123@gmail.com Phone +913712-275511, Fax +913712-267006 |
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Rajib Haloi Department of Mathematical Sciences Tezpur University, Sonitpur ASSAM, Pin- 784028, India email: rajib.haloi@gmail.com Phone +913712-275511, Fax +913712-267006 |
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