Effectiveness of matrix measure in finding periodic solutions for nonlinear systems of differential and integro-differential equations with delays-Reference-Cited by-同舟云学术

Effectiveness of matrix measure in finding periodic solutions for nonlinear systems of differential and integro-differential equations with delays

Published:2024 Issue:6 Volume:9 Page:14274-14287
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mesmouli Mouataz Billah¹,Menaem Amir Abdel²,Hassan Taher S.¹³⁴

Affiliation:

1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia

2. Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, Yekaterinburg 620002, Russia; a.a.abdelmenaem@urfu.ru

3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt; tshassan@mans.edu.eg

4. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II 39, Roma 00186, Italy

Abstract

<abstract><p>In this manuscript, under the matrix measure and some sufficient conditions, we will overcame all difficulties and challenges related to the fundamental matrix for a generalized nonlinear neutral functional differential equations in matrix form with multiple delays. The periodicity of solutions, as well as the uniqueness under the considered conditions has been proved employing the fixed point theory. Our approach expanded and generalized certain previously published findings for example, we studied the uniqueness of a solution that was absent in some literature. Moreover, an example was given to confirm the main results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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