×

Equivalence of differential operators. (English) Zbl 0715.47032

The authors treat the following equivalence problem: when two second order operators on the real line can be transformed into each other by an appropriate change of variables.
The equivalence has two different interpretations, depending on whether one wishes to preserve the differential expression or the Lie brackets between the operators. Both versions are considered and solved using the Cartan method.
Reviewer: G.Caristi

MSC:

47E05 General theory of ordinary differential operators
58A15 Exterior differential systems (Cartan theory)
34A26 Geometric methods in ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI