Existential Results for Nonlinear Singular Interface Problems involving Second Order Nonlinear Dynamic Equations using Picards Iterative Technique

Abstract

Abstract. In this paper we give existential results for nonlinear interface problems with a singular interface. The solution is proved to exist for an IVP satisfying matching interface conditions. The picards iterative technique is used. We discuss the theory developed to a problem in the field of applied elasticity.

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

“…A systematic study of Initial Value Problems, Boundary Value Problems and eigen Value problems associated with these nonlinear singular interface problems involving nonlinear second order pair of dynamic equations is done in [34]- [41].…”