Existential and Uniqueness Results for Initial Value Problems associated with Non-linear Singular Interface Problems on Time Scales using Fixed Point Theorems

Abstract

In this paper we present existential and uniqueness results for IVPs associated with general nonlinear singular interface problems on Time Scales. We discuss these results for a fourth order IVP associated with nonlinear singular interface problems using the classical fixed point theorems of Banach and Schauder.