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APPROXIMATE AND STABILITY SOLUTION FOR NON-LINEAR SYSTEM OF INTEGRODIFFERENTIAL EQUATIONS OF VOLTERRA TYPE WITH BOUNDARY CONDITIONS

Raad Noori Butris(1), Noori R Noori(2),


(1) (SCOPUS ID : 16427511100, College of Basic Education, Department of Mathematics, University of Duhok)
(2) Duhok Polytechnic University, College of Engineering, Department of Energy
Corresponding Author

Abstract


In this paper, we investigate the approximation and stability solutions of non-linear systems of integro-differential equations of Volterra type with boundary conditions, by using the numerical-analytic method which were introduced by Samoilenko. The study of such integro-differential equations leads to extend the results obtained by Butris for changing the system of non-linear integro- differential equations of Volterra type to the system of non-linear integro-differential equations of the Volterra type with boundary conditions. Theorems on a solutions are established under some necessary and sufficient conditions on compact spaces.

Keywords


Numerical-analytic method, Volterra integro-differential equations, Boundary conditions, Periodic solutions

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DOI: 10.56327/ijiscs.v7i2.1482

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