Periodic Solutions For Nonlinear Systems of Multiple Integro-differential Equations that Contain Symmetric Matrices with Impulsive Actions

Raad Noori Butris; Hewa Selman Faris

doi:10.24996/ijs.2023.64.1.28

Authors

Raad Noori Butris Department of Mathematics, College of basic education, University of Duhok, Duhok, Iraq https://orcid.org/0000-0002-4376-8103
Hewa Selman Faris Department of Mathematics, College of basic education, University of Duhok, Duhok, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.1.28

Keywords:

Nonlinear T-system, existence, uniqueness and stability solution, numerical-analytic method, impulsive actions, Hölder condition

Abstract

This paper examines a new nonlinear system of multiple integro-differential equations containing symmetric matrices with impulsive actions. The numerical-analytic method of ordinary differential equations and Banach fixed point theorem are used to study the existence, uniqueness and stability of periodic solutions of impulsive integro-differential equations with piecewise continuous functions. This study is based on the Hölder condition in which the ordering , and are real numbers between 0 and 1.