Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2016 (2016), Article ID 1796316, 9 pages.
Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra
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.
Abstr. Appl. Anal., Volume 2016 (2016), Article ID 1796316, 9 pages.
Received: 13 June 2016
Revised: 25 October 2016
Accepted: 7 November 2016
First available in Project Euclid: 25 January 2017
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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