| Title:
|
Parallelisms between differential and difference equations (English) |
| Author:
|
Chrastinová, Veronika |
| Author:
|
Tryhuk, Václav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
137 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
175-185 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
ordinary differential equation |
| Keyword:
|
ordinary difference equation |
| Keyword:
|
first integral |
| Keyword:
|
symmetry |
| Keyword:
|
infinitesimal symmetry |
| Keyword:
|
moving frame |
| MSC:
|
34A34 |
| MSC:
|
34C14 |
| MSC:
|
39A05 |
| MSC:
|
39A12 |
| idZBL:
|
Zbl 1265.34002 |
| idMR:
|
MR2978263 |
| DOI:
|
10.21136/MB.2012.142863 |
| . |
| Date available:
|
2012-06-08T10:10:06Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142863 |
| . |
| Reference:
|
[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). Zbl 0991.39005, MR 1843844, 10.1098/rspa.2000.0643 |
| Reference:
|
[2] Olver, P. J.: Applications of Lie Groups to Differential Equations.2nd Graduate Texts in Mathematics, 107, Springer, New York (1993). Zbl 0785.58003, MR 1240056 |
| Reference:
|
[3] Olver, P. J.: Equivalence, Invariants, and Symmetry.Cambridge University Press, Cambridge (1995). Zbl 0837.58001, MR 1337276 |
| Reference:
|
[4] Tryhuk, V., Chrastinová, V.: Equivalence of difference equations within the web theory.Mathematica Slovaca, to appear. |
| . |
