Linearization of fifth-order ordinary differential equations by generalized Sundman transformations
type: Item
instance of: scholarly article
title: Linearization of fifth-order ordinary differential equations by generalized Sundman transformations
zbMATH Open document ID: 1487.34057
DOI: 10.1155/2018/3048428
author: S. Suksern
author: Kwanpaka Naboonmee
published in: International Journal of Differential Equations
publication date: 2018-08-10T00:00:00Z
review text: Summary: In this article, the linearization problem of fifth-order ordinary differential equation is presented by using the generalized Sundman transformation. Necessary and sufficient conditions are found which allow the nonlinear fifth-order ordinary differential equation to be transformed to the simplest linear equation. There is only one case in the part of sufficient conditions which is surprisingly less than the number of cases in the same part for order 2, 3, and 4. Moreover, the derivations of the explicit forms for the linearizing transformation are exhibited. Examples for the main results are included.
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34C20
zbMATH DE Number: 6915950
zbMATH Keywords: linearization problem
zbMATH Keywords: fifth-order ordinary differential equation
zbMATH Keywords: generalized Sundman transformation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3048428
OpenAlex ID: W2781801233
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description: scientific article; zbMATH DE number 6915950