The existence and approximation of the periodic solution of a system of nonlinear differential-differential equations of the first order with independent variable delay with boundary conditions

ABSTRACT In this paper we study the existence and approximation of the solutions for some systems of nonlinear integro-differential equations with having retarded arguments and boundary conditions. The numericalanalytic method has been used to study the periodic solutions of ordinary differential equations which were introduced by A. M. Samoilenko.