STABILITY,ERROR ESTIMATE AND APPROXIMATION OF SOLUTIONS OF NON-LINEAR SYSTEM INTEGRAL EQUATIONS IN DIRECT SUM OF HILBERT SPACE

Abstract

In this research, we study stability of solutions with respect to the driver of a system of nonlinear Volterrs integral equations in reproducing Kernel Hilbert space. We study error estimate of solutions in terms of uniform grid numbers of subintervals of [a, b]. Furthermore, we use the reproducing kernel method to approximate the solutions of the problem. Finally, we give some examples to show the power of the method