On the Linearization of Second-Order Differential and Difference Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• ISSN: 1815-0659
• Main Author: Dorodnitsyn, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146102
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Linearization of Second-Order Differential and Difference Equations / V. Dorodnitsyn // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 11 назв. — англ.

This article complements recent results of the papers [J. Math. Phys. 41 (2000), 480; 45 (2004), 336] on the symmetry classification of second-order ordinary difference equations and meshes, as well as the Lagrangian formalism and Noether-type integration technique. It turned out that there exist no...