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PERIODIC SOLUTION OF INTEGRO-DIFFERENTIAL EQUATIONS DEPENDED ON SPECIAL FUNCTION WITH SINGULAR KERNELS

Journal: International Journal of Mechanical Engineering and Technology(IJMET) (Vol.10, No. 3)

Publication Date:

Authors : ; ;

Page : 1681-1695

Keywords : Numerical-analytic methods; existence; uniqueness and stability; periodic solution; integro-differential equations; special function; singular kernels;

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Abstract

In this paper, we investigate the existence, uniqueness and stability of periodic solution of new integro-differential equations depended on special function with singular kernels. The numerical-analytic method has been used to study the periodic solutions for the ordinary differential equations that were introduced by Samoilenko. Also these investigation lead us to the improving and extending the results of Butris and extended Samoilenko method.

Last modified: 2019-05-24 18:32:29