The existence and approximation of the periodic solutions for system of first order nonlinear differential equationsby using Lebesgue integrable

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for a system of first order nonlinear differential equations by assuming that each of the functions are measurable at t and bounded by Lebesgue integrable functions. The numerical-analytic method has been used to study the periodic solutions of ordinary differential equations which were introduced by A. M. Samoilenko.