Linearization of Fifth-Order Ordinary Differential Equations by Generalized Sundman Transformations
Joint Authors
Suksern, S.
Naboonmee, Kwanpaka
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-02
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this article, the linearization problem of fifth-order ordinary differential equation is presented by using the generalized Sundman transformation.
The necessary and sufficient conditions which allow the nonlinear fifth-order ordinary differential equation to be transformed to the simplest linear equation are found.
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.
American Psychological Association (APA)
Suksern, S.& Naboonmee, Kwanpaka. 2018. Linearization of Fifth-Order Ordinary Differential Equations by Generalized Sundman Transformations. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1170758
Modern Language Association (MLA)
Suksern, S.& Naboonmee, Kwanpaka. Linearization of Fifth-Order Ordinary Differential Equations by Generalized Sundman Transformations. International Journal of Differential Equations No. 2018 (2018), pp.1-17.
https://search.emarefa.net/detail/BIM-1170758
American Medical Association (AMA)
Suksern, S.& Naboonmee, Kwanpaka. Linearization of Fifth-Order Ordinary Differential Equations by Generalized Sundman Transformations. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-17.
https://search.emarefa.net/detail/BIM-1170758
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170758