Linearization of third-order ordinary differential equations by point and contact transformations
type: Item
instance of: scholarly article
title: Linearization of third-order ordinary differential equations by point and contact transformations
zbMATH Open document ID: 1082.34003
author: Nail H. Ibragimov
author: Sergey V. Meleshko
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-06-30T00:00:00Z
review text: This paper deals with the linearization of the problem \[ y'''= f(x,y,y',y'') \] by means of the point transformations, \(t= \varphi(x,y)\), \(u= \psi(x,y)\) and by mens of contact transformations \(t= \varphi(x,y,p)\), \(u= \psi(x,y,p)\) and \(q= g(x,y,p)\) with \(p= y'\), \(q= u'\). Necessary and sufficient conditions for linearization are presented. Some examples are given.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C20
zbMATH DE Number: 2184084
zbMATH Keywords: Nonlinear equations
zbMATH Keywords: Candidates for linearization
zbMATH Keywords: Contact transformations
zbMATH Keywords: Relative invariants
zbMATH Keywords: Linearization test
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.01.025
OpenAlex ID: W2166052904
cites work: Q5765686
cites work: Q4187779
cites work: The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
cites work: Q4876472
cites work: The geometry of the equation \(y'''=f(x,y,y',y'')\)
cites work: Q3873786
cites work: Contact symmetry algebras of scalar ordinary differential equations
DOI: 10.1016/J.JMAA.2005.01.025
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description: scientific article; zbMATH DE number 2184084