EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS OF VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT AND SYMMETRIC MATRICES

Raad Noori Butris(1), Sahla B Abdi(2),


(1) Department of Mathematics, Collage of Basic Education, University of Duhok, Kurdistan Region
(2) Department of Mathematics, Collage of Basic Education, University of Duhok, Kurdistan Region
Corresponding Author

Abstract


In this study, we investigate the existence, uniqueness, and stability solutions of Volterra integrodifferential equations with retarded argument and symmetric matrices. The Picard approximation method and Banach fixed point theorem have been used in this study. Theorems on the existence and uniqueness of a solution are established under some necessary and sufficient conditions on closed and bounded domains (compact spaces).  


Keywords


Volterra integro-differential equation, retarded argument, symmetric matrices, Picard approximation method, Banach fixed point theorem

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DOI: 10.56327/ijiscs.v5i1.979

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