Solution estimates and stability tests for nonlinear delay integro-differential equations

Date

2022-10-05

Authors

Pinelas, Sandra
Tunc, Osman

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we examine various qualitative features of solutions of a nonlinear delay integro-differential equation. We prove three new theorems which include sufficient conditions on asymptotic stability (AS), integrability, and boundedness of solutions, using a suitable Lyapunov-Krasovskii functional. We present examples that show applications of our results.

Description

Keywords

Lyapunov- Krasovskii functions, Delay integro-differential equation, Qualitative properties

Citation

Pinelas, S., Tunç, O. (2022). Solution estimates and stability tests for nonlinear delay integro-differential equations. <i>Electronic Journal of Differential Equations, 2022</i>(68), pp. 1-12.

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Attribution 4.0 International

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