Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 68, pp. 1-12.

Title: Solution estimates and stability tests for nonlinear delay integro-differential equations
       
Authors: Sandra Pinelas (Academia Militar, Amadora, Portugal)
         Osman Tunc (Van Yuzuncu Yil Univ., Van, Turkey)

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. 

Submitted August 1, 2022. Published October 05, 2022.
Math Subject Classifications: 34D05, 34K20, 45J05.
Key Words: Lyapunov- Krasovskii functions; delay integro-differential equation; qualitative properties.