in this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. iteration perturbation method leads us to high accurate solution. two different high nonlinear examples are also presented to show the application and accuracy of the presented method. the results are compared with analytical methods and with the numerical solution using runge-kutta m...

Existence of solutions to some nonlinear integral equations with variable delays are obtained by the use of a fixed point theorem due to Dhage. As applications of the main results, existence results to some initial value problems concerning differential equations of higher order as well as integrodifferential equations are derived. The case of Lipschitz-type conditions is also considered. Our r...

The policy iteration method is a classical algorithm for solving optimal control problems. We introduce Mean Field Games systems and we prove, under monotonicity assumption on the coupling cost, convergence of this procedure to solution problem.