Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays

Abstract

In this paper, the differential transformation method is applied by providing new theorems to develop exact and approximate solutions of nonlinear differential and integro-differential equations with proportional delays represented by nonlinear multi-pantograph equations. Some examples are given to demonstrate the validity and applicability of the present method and a comparison is made with existing results. © 2013 Šmarda et al.