Some comparison results on equivalence groups

2011/10/27 by Ndogmo, J. C.
#34C14 #34C20 #76M60 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1110.6026

Abstract

This paper deals with the comparison of two common types of equivalence groups of differential equations, and this gives rise to a number of results presented in the form of theorems. It is shown in particular that one type can be identified with a subgroup of the other type. Consequences of this comparison related in particular to the determination of invariant functions of the differential equations are also discussed.

Related

• Equivalence for Differential Equations
• On dummy variables of structure-preserving transformations
• Group Classification of a family of second-order differential equations
• Invariants associated with linear ordinary differential equations
• Equivalence of differential equations of order one