Parallelisms between differential and difference equations
Veronika Chrastinová; Václav Tryhuk
Mathematica Bohemica (2012)
- Volume: 137, Issue: 2, page 175-185
- ISSN: 0862-7959
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topChrastinová, Veronika, and Tryhuk, Václav. "Parallelisms between differential and difference equations." Mathematica Bohemica 137.2 (2012): 175-185. <http://eudml.org/doc/246764>.
@article{Chrastinová2012,
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.},
author = {Chrastinová, Veronika, Tryhuk, Václav},
journal = {Mathematica Bohemica},
keywords = {ordinary differential equation; ordinary difference equation; first integral; symmetry; infinitesimal symmetry; moving frame; ordinary differential equation; ordinary difference equation; first integral; infinitesimal symmetry; moving frame},
language = {eng},
number = {2},
pages = {175-185},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Parallelisms between differential and difference equations},
url = {http://eudml.org/doc/246764},
volume = {137},
year = {2012},
}
TY - JOUR
AU - Chrastinová, Veronika
AU - Tryhuk, Václav
TI - Parallelisms between differential and difference equations
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 2
SP - 175
EP - 185
AB - 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.
LA - eng
KW - ordinary differential equation; ordinary difference equation; first integral; symmetry; infinitesimal symmetry; moving frame; ordinary differential equation; ordinary difference equation; first integral; infinitesimal symmetry; moving frame
UR - http://eudml.org/doc/246764
ER -
References
top- Hydon, P. E., 10.1098/rspa.2000.0643, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456 2835-2855 (2000). (2000) Zbl0991.39005MR1843844DOI10.1098/rspa.2000.0643
- Olver, P. J., Applications of Lie Groups to Differential Equations, 2nd Graduate Texts in Mathematics, 107, Springer, New York (1993). (1993) Zbl0785.58003MR1240056
- Olver, P. J., Equivalence, Invariants, and Symmetry, Cambridge University Press, Cambridge (1995). (1995) Zbl0837.58001MR1337276
- Tryhuk, V., Chrastinová, V., Equivalence of difference equations within the web theory, Mathematica Slovaca, to appear.
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