Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ndogmo, J. C.. 2016. Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1094725
Modern Language Association (MLA)
Ndogmo, J. C.. Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra. Abstract and Applied Analysis No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1094725
American Medical Association (AMA)
Ndogmo, J. C.. Generation and Identification of Ordinary Differential Equations of Maximal Symmetry Algebra. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1094725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1094725