**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30169

##### Solution of Nonlinear Second-Order Pantograph Equations via Differential Transformation Method

**Authors:**
Nemat Abazari,
Reza Abazari

**Abstract:**

In this work, we successfully extended one-dimensional differential transform method (DTM), by presenting and proving some theorems, to solving nonlinear high-order multi-pantograph equations. This technique provides a sequence of functions which converges to the exact solution of the problem. Some examples are given to demonstrate the validity and applicability of the present method and a comparison is made with existing results.

**Keywords:**
Nonlinear multi-pantograph equation,
delay differential equation,
differential transformation method,
proportional delay conditions,
closed form solution.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1075396

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