Sandra Pinelas, Osman Tunc
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 5, 2022.
Math Subject Classifications: 34D05, 34K20, 45J05.
Key Words: Lyapunov- Krasovskii functions; delay integro-differential equation; qualitative properties.
DOI: https://doi.org/10.58997/ejde.2022.68
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Sandra Pinelas CINAMIL - Centro de Investigação da Academia Militar Academia Militar, Amadora, Portugal email: sandra.pinelas@gmail.com | |
Osman Tunç Department of Computer Programing Baskale Vocational School Van Yuzuncu Yil University Campus, 65080 Van, Turkey email: osmantunc89@gmail.com |
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