𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A type of Bäcklund-like invariance transformation for a class of second-order ordinary differential equations

✍ Scribed by Robert L. Anderson; John W. Turner

Publisher
Springer
Year
1975
Tongue
English
Weight
287 KB
Volume
1
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

✦ Synopsis

Invariance conditions which link a class of ordinary differential equations with a type of B~cklund-like transformation are developed and solved. These nonpoint transformations are used to obtain 'superposition principles' and as an illustration of their consequences a derivation of the duplication law for the Jacobian elliptic sine function is sketched. The group properties of these transformations are identified in all but one case and in one case it leads to a 'double group' qr

📜 SIMILAR VOLUMES

Global bifurcation theorem for a class o
Global bifurcation theorem for a class of boundary conditions for ordinary differential equations of second order
✍ Jacek Gulgowski 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract In this paper we deal with boundary value problems equation image where __l__ : __C__^1^([__a, b__], ℝ^__k__^) → ℝ^__k__^ × ℝ^__k__^ is continuous, __μ__ ≤ 0 and __φ__ is a Caratheodory map. We define the class __S__ of maps __l__, for which a global bifurcation theorem holds for the