Generation and identification of ordinary differential equations of maximal symmetry algebra
type: Item
instance of: scholarly article
title: Generation and identification of ordinary differential equations of maximal symmetry algebra
zbMATH Open document ID: 1470.34005
DOI: 10.1155/2016/1796316
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 39B12
zbMATH DE Number: 6929347
author: J. C. Ndogmo
MaRDI profile type: Publication
Wikidata QID: Q59121506
full work available at URL: https://doi.org/10.1155/2016/1796316
OpenAlex ID: W2565490578
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description: scientific article; zbMATH DE number 6929347