PERIODIC SOLUTION OF A SECOND ORDER OF DIFFERENTIAL EQUATIONS WITH HIGHER DERIVATIVES

Raad Noori Butris; Noori Raad Noori

doi:10.56327/ijiscs.v6i2.1224

PERIODIC SOLUTION OF A SECOND ORDER OF DIFFERENTIAL EQUATIONS WITH HIGHER DERIVATIVES

Raad Noori Butris⁽¹⁾, Noori Raad 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

The study deals with the existence, uniqueness, and stability of periodic solution of a second order of differential equations with higher derivatives. We provide a wide range of qualifications including the numerical-analytic method has been used by the Samoilenko method to investigate the existence and approximation of periodic solutions of nonlinear systems of the differential equations. We give an appropriate solutions of the problem, and extend the results of Shlapak to more general cases by assuming the weaker conditions for the functions

Keywords

Numerical-analytic method, periodic differential equations, higher derivatives, Banach fixed point theorem

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