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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 735910, 8 pages
Research Article

On the Fiber Preserving Transformations for the Fifth-Order Ordinary Differential Equations

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Received 15 January 2014; Accepted 11 March 2014; Published 3 April 2014

Academic Editor: Zlatko Jovanoski

Copyright © 2014 S. Suksern and W. Pinyo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is devoted to the study of the linearization problem of fifth-order ordinary differential equations by means of fiber preserving transformations. The necessary and sufficient conditions for linearization are obtained. The procedure for obtaining the linearizing transformations is provided in explicit form. Examples demonstrating the procedure of using the linearization theorems are presented.