𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Characterisation of the Algebraic Properties of First Integrals of Scalar Ordinary Differential Equations of Maximal Symmetry

✍ Scribed by G.P Flessas; K.S Govinder; P.G.L Leach

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
233 KB
Volume
212
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

We undertake a study of the first integrals of linear nth order scalar ordinary differential equations with maximal symmetry. We establish patterns for the first integrals associated with these equations. It is shown that second and third order equations are the pathological cases in the study of higher order differential equations. The equivalence of contact symmetries for third order equations to non-Cartan symmetries of second order equations is highlighted.

πŸ“œ SIMILAR VOLUMES

Exceptional Properties of Second and Thi
Exceptional Properties of Second and Third Order Ordinary Differential Equations of Maximal Symmetry
✍ S Moyo; P.G.L Leach πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 137 KB

The Riccati transformation is used in the reduction of order of second and third Ε½ . order ordinary differential equations of maximal symmetry. The sl 2, R subalgebra is preserved under this transformation. The Riccati transformation is itself associated with the symmetry that is annihilated in the

Symmetries of first-order stochastic ord
Symmetries of first-order stochastic ordinary differential equations revisited
✍ E. Fredericks; F. M. Mahomed πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 136 KB

## Abstract Symmetries of stochastic ordinary differential equations (SODEs) are analysed. This work focuses on maintaining the properties of the Weiner processes after the application of infinitesimal transformations. The determining equations (DEs) for first‐order SODEs are derived in an ItΓ΄ calc

Complete Symmetry Groups of Ordinary Dif
Complete Symmetry Groups of Ordinary Differential Equations and Their Integrals: Some Basic Considerations
✍ K. Andriopoulos; P.G.L. Leach; G.P. Flessas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 116 KB

The concept of the complete symmetry group of a differential equation introduced by J. Krause (1994, J. Math. Phys. 35, 5734-5748) is extended to integrals of such equations. This paper is devoted to some aspects characterising complete symmetry groups. The algebras of the symmetries of both differe