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

Electronic Journal of Differential Equations

article

Sandra Pinelas¹  Osman Tunç² 

[1] CINAMIL - Centro de Investigação da Academia Militar Academia Militar;Department of Computer Programing Baskale Vocational School Van Yuzuncu Yil University Campus

关键词: Lyapunov- Krasovskii functions;    delay integro-differential equation;    qualitative properties.;   

DOI  :  10.58997/ejde.2022.68

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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 conditionson asymptotic stability (AS), integrability, and boundedness of solutions, using a suitable Lyapunov-Krasovskii functional. We present examples that show applications of our results.

【 授权许可】

CC BY