Geodesic
Parallelisms between differential and difference equations
Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 175-185

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MR Zbl
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.
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.
DOI : 10.21136/MB.2012.142863
Classification : 34A34, 34C14, 39A05, 39A12
Keywords: ordinary differential equation; ordinary difference equation; first integral; symmetry; infinitesimal symmetry; moving frame 
Chrastinová, Veronika; Tryhuk, Václav. Parallelisms between differential and difference equations. Mathematica Bohemica, Tome 137 (2012) no. 2, pp. 175-185. doi: 10.21136/MB.2012.142863
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[1] Hydon, P. E.: Symmetries and first integrals of ordinary difference equations. Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456 2835-2855 (2000). | DOI | MR | Zbl

[2] Olver, P. J.: Applications of Lie Groups to Differential Equations. 2nd Graduate Texts in Mathematics, 107, Springer, New York (1993). | MR | Zbl

[3] Olver, P. J.: Equivalence, Invariants, and Symmetry. Cambridge University Press, Cambridge (1995). | MR | Zbl

[4] Tryhuk, V., Chrastinová, V.: Equivalence of difference equations within the web theory. Mathematica Slovaca, to appear.

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