Linearization of third-order ordinary differential equations by generalized Sundman transformations: The case

✍ Scribed by W. Nakpim; S.V. Meleshko

• Book ID: 104012571
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 201 KB
• Volume: 15
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2009.06.020

✦ Synopsis

Necessary and sufficient conditions which allow the most general third-order ordinary differential equation x 000 ¼ f ðt; x; x 0 ; x 00 Þ to be transformed to X 000 þ aX ¼ 0 under the generalized Sundman transformation X ¼ Fðt; xÞ; dT ¼ Gðt; xÞdt; ðF x G -0Þ; are obtained in the paper. Here a -0 is constant.