Third-order ordinary differential equations equivalent to linear second-order ordinary differential equations via tangent transformations. (November 2016)

• Record Type: Journal Article
• Authors: Nakpim, Warisa
• Is Part Of: Journal of symbolic computation. Volume 77(2016)
• Page Start: 63
• Page End: 77
• Publication Date: 2016-11
• Subjects: 34A05 -- 34A25; Linearization problem -- Tangent transformation -- Nonlinear ordinary differential equation; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2016.01.006
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: The linearization problem of a third-order ordinary differential equation by the tangent transformation is considered in the present paper. This is the first application of tangent (essentially) transformations to the linearization problem of third-order ordinary differential equations. Necessary and sufficient conditions for a third-order ordinary differential equation to be linearizable are obtained.