Document Zbl 1265.34002

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Parallelisms between differential and difference equations. (English) Zbl 1265.34002

Math. Bohem. 137, No. 2, 175-185 (2012).

Summary: The paper deals with higher-order ordinary differential equations and the analogous higher-order difference equations and compares the corresponding fundamental concepts. Important dissimilarities appear for the moving frame method.

MSC:

34A05	Explicit solutions, first integrals of ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems
39A05	General theory of difference equations
34C14	Symmetries, invariants of ordinary differential equations
39A12	Discrete version of topics in analysis

Keywords:

ordinary differential equation; ordinary difference equation; first integral; infinitesimal symmetry; moving frame

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