EXISTENCE, UNIQUENESS AND STABILITY SOLUTION OF VOLTERRA-FRIEDHOLM OF INTEGRO-DIFFERENTIAL EQUATIONS
Journal: International Journal of Mechanical Engineering and Technology(IJMET) (Vol.10, No. 7)Publication Date: 2019-07-19
Authors : Raad N. Butris; Hojeen M. Haji;
Page : 68-81
Keywords : Picard approximation method; Existence and uniqueness; Integrodifferential equations; Stability solution; Banach fixed point theorem;
Abstract
This article investigates existence, uniqueness and stability solutions of new Volterra- Friedholm of integro-differential equations by using both method Picard approximation and Banach fixed point theorem which was introduced by Rama. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Also expand the some results gained by Butris .
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