Periodic solutions for nonlinear systems of multiple integro-integral differential equations of (V F) and (F V) type with isolated singular kernels

doi:https://doi.org/10.31559/glm2020.9.2.7

Volume 9 - Issue 2 (7) | PP: 106 - 128 Language : English
DOI : https://doi.org/10.31559/glm2020.9.2.7

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Periodic solutions for nonlinear systems of multiple integro-integral differential equations of (V F) and (F V) type with isolated singular kernels

Received Date	Revised Date	Accepted Date	Publication Date
2/9/2019	11/11/2020	25/11/2020	31/1/2021

Abstract

In this paper, the numerical-analytic method has been used to study the existence and approximation of the periodic solutions for the vector T-system of new nonlinear multiple integro-differential equations of mixed (Volterra-Fredholm) and (Fredholm-Volterra) types. Our main task provided sufficient conditions for investigating the family continuation theorems (numerical-analytic method and Banach fixed point theorem) in compact spaces for the existence of periodic solutions for the vector T-system of nonlinear multiple integrodifferential equations. All functions satisfies a Hölder condition (Hölder inequality) of orders α, β and γ where 0<α, β, γ<1.

Keywords: Existence, uniqueness and stability, periodic nonlinear T-system, numerical-analytic methods, BanachFixed Point Theorem, Volterra and Fredholm, multiple integro-differential equations, Hölder inequality

How To Cite This Article

Butris , R. N. & Faris , H. S. (2021). Periodic solutions for nonlinear systems of multiple integro-integral differential equations of (V F) and (F V) type with isolated singular kernels . General Letters in Mathematics, 9 (2), 106-128, 10.31559/glm2020.9.2.7

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