Abstract and Applied Analysis

Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra

J. C. Ndogmo

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2016 (2016), Article ID 1796316, 9 pages.

Dates
Revised: 25 October 2016
Accepted: 7 November 2016
First available in Project Euclid: 25 January 2017

https://projecteuclid.org/euclid.aaa/1485313541

Digital Object Identifier
doi:10.1155/2016/1796316

Mathematical Reviews number (MathSciNet)
MR3589504

Zentralblatt MATH identifier
06929347

Citation

Ndogmo, J. C. Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra. Abstr. Appl. Anal. 2016 (2016), Article ID 1796316, 9 pages. doi:10.1155/2016/1796316. https://projecteuclid.org/euclid.aaa/1485313541

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