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2016 Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra
J. C. Ndogmo
Abstr. Appl. Anal. 2016: 1-9 (2016). DOI: 10.1155/2016/1796316


An effective method for generating linear ordinary differential equations of maximal symmetry in their most general form is found, and an explicit expression for the point transformation reducing the equation to its canonical form is obtained. New expressions for the general solution are also found, as well as several identification and other results and a direct proof of the fact that a linear ordinary differential equation is iterative if and only if it is reducible to the canonical form by a point transformation. New classes of solvable equations parameterized by an arbitrary function are also found, together with simple algebraic expressions for the corresponding general solution.


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J. C. Ndogmo. "Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra." Abstr. Appl. Anal. 2016 1 - 9, 2016.


Received: 13 June 2016; Revised: 25 October 2016; Accepted: 7 November 2016; Published: 2016
First available in Project Euclid: 25 January 2017

zbMATH: 06929347
MathSciNet: MR3589504
Digital Object Identifier: 10.1155/2016/1796316

Rights: Copyright © 2016 Hindawi


Vol.2016 • 2016
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