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.
Rights
Attribution 4.0 International