V. Chrastinová, V. Tryhuk: Brno University of Technology, Faculty of Civil Engineering, Department of Mathematics, Veveří 331/95, 602 00 Brno, Czech Republic, e-mail: chrastinova.v@fce.vutbr.cz, tryhuk.v@fce.vutbr.cz
Abstract: The paper deals with the 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.
Keywords: ordinary differential equation, ordinary difference equation, first integral, symmetry, infinitesimal symmetry, moving frame
Classification (MSC 2010): 34A34, 39A05
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