On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay

V. Vijayakumar; R. Udhayakumar; K. Kavitha

doi:10.3934/eect.2020066

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2021, Volume 10, Issue 2: 271-296. Doi: 10.3934/eect.2020066

This issue Previous Article Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy Next Article Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting

On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632 014, Tamil Nadu, India

^* Corresponding author: V. Vijayakumar
^* Corresponding author: V. Vijayakumar

Received: October 31, 2019

Revised: February 29, 2020

Early access: June 2020

Published: June 2021

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Abstract

In our manuscript, we organize a group of sufficient conditions of neutral integro-differential inclusions of Sobolev-type with infinite delay via resolvent operators. By applying Bohnenblust-Karlin's fixed point theorem for multivalued maps, we proved our results. Lastly, we present an application to support the validity of the study.

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Mathematics Subject Classification: Primary: 34G10, 34G25; Secondary: 93B05.

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References

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