Algebraic aspects of transformations with an application to differential equations. (English) Zbl 0957.34008

Neuman, František

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 40, No. 1-8, 505-511 (2000).

In the paper, a historical and a general algebraic approach of transformations with an application to linear differential equations is given. Moreover, the global equivalence of two linear \(n\)th-order equations is defined and a criterion of equivalence is described.

Reviewer: M.Greguš (Bratislava)

MSC:

34A25	Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34A30	Linear ordinary differential equations and systems

Keywords:

\(n\)th-order linear differential equations; functional-differential equations; transformations; Brandt and Ehresmann groupoids

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