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

Advances in Difference Equations

Josef Diblk¹  Zdenk marda¹  Yasir Khan² 

[1] Department of Mathematics, Brno University of Technology, Brno, Czech Republic;Department of Mathematics, Zhejiang University, Hangzhou, China

关键词: Series Solution;    Delay Differential Equation;    Previous Part;    Adomian Decomposition Method;    Differential Transformation Method;   

DOI  :  10.1186/1687-1847-2013-69

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY