Volume 18, Issue Supplement 1, September 2011, Pages 213 - 236
Application of the Generalised Sundman Transformation to the Linearisation of Two Second-Order Ordinary Differential Equations
Authors
Sibusiso Moyo
Research Management and Development and Institute for Systems Science, Durban University of Technology, Durban, South Africa,moyos@dut.ac.za
Sergey V. Meleshko*
School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand,sergey@math.sut.ac.th
*Corresponding author.
Corresponding Author
Sergey V. Meleshko
Received 28 September 2010, Accepted 10 November 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001386How to use a DOI?
- Keywords
- Linearization problem; generalized Sundman transformation; system of nonlinear second-order ordinary differential equations
- Abstract
In the literature, the generalized Sundman transformation has been used for obtaining necessary and sufficient conditions for a single second- and third-order ordinary differential equation to be equivalent to a linear equation in the Laguerre form. As far as we are aware, the generalized Sundman transformation has not been applied to a system of equations. The motivation of this work is then to expand the application of the generalized Sundman transformation to a system of ordinary differential equations, in particular, to a system of two second-order ordinary differential equations.
- Copyright
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Sibusiso Moyo AU - Sergey V. Meleshko PY - 2021 DA - 2021/01/07 TI - Application of the Generalised Sundman Transformation to the Linearisation of Two Second-Order Ordinary Differential Equations JO - Journal of Nonlinear Mathematical Physics SP - 213 EP - 236 VL - 18 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001386 DO - 10.1142/S1402925111001386 ID - Moyo2021 ER -