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Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays
Journal article   Open access  Peer reviewed

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

Zdeněk Šmarda, Josef Diblík and Yasir Khan
Advances in difference equations, Vol.2013(1), pp.1-12
21/03/2013
DOI: https://doi.org/10.1186/1687-1847-2013-69

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Progress in Functional Differential and Difference Equations
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.
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https://doi.org/10.1186/1687-1847-2013-69View
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