Monotone iterative for nonlinear IVP of integrodifferential system with singular coefficients

Abstract

The existence of extremal solutions of the Nonlinear Integro-differential system of the initia-Value problem with singular coefficients are proved by monotone iterative technique. This is achieved by developing a comparison result. This does not require the usual classical assumption of the increasing nature of the integral term. This is turn includes the earlier known scalar results asa special case.

Keywords:

• Upper lower Solutions
• extremal solutions
• singular systems