Periodic Solution of Non-Linear Differential Equations with Non-Linear boundary conditions

JACSM - In this paper, we investigate the existence, uniqueness and stability of the periodic solution for new non-linear system of differential equations with non-linear boundary conditions by using the numerical-analytic methods, which was introduced by Samoilenko. These investigations lead us to improving and extending the above method. Also we expand the results obtained by Samoilenko to change the periodic system of non-linear differential equations with initial condition to periodic a system of non-linear differential equations with non-linear boundary conditions.