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2014 Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation
E. Thailert, S. Suksern
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/486717

Abstract

We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential equation to be transformed into the simplest linear equation. We also illustrate how to construct the generalized linearizing transformation. Some examples of linearizable equation are provided to demonstrate our procedure.

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E. Thailert. S. Suksern. "Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/486717

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131632
MathSciNet: MR3251579
Digital Object Identifier: 10.1155/2014/486717

Rights: Copyright © 2014 Hindawi

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