SOLUTION ESTIMATES AND STABILITY TESTS FOR NONLINEAR DELAY INTEGRO-DIFFERENTIAL EQUATIONS
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, vol.2022, no.68, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2022 Issue: 68
- Publication Date: 2022
- Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Directory of Open Access Journals
- Keywords:  , Lyapunov-Krasovskii functions, delay integro-differential equation, qualitative properties, DIFFERENTIAL EQUATIONS, EXPONENTIAL STABILITY, BOUNDEDNESS, 2ND-ORDER, SYSTEMS
- Van Yüzüncü Yıl University Affiliated: Yes
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.