General Letters in Mathematics

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

Raad N. Butris ,
Hewa Selman Faris
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 H&ouml;lder condition (H&ouml;lder inequality) of orders &alpha;, &beta; and &gamma; where 0<&alpha;, &beta;, &gamma;<1.


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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