Geodesic
The moving frames for differential equations. I. The change of independent variable
Archivum mathematicum, Tome 39 (2003) no. 4, pp. 317-333.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The article concerns the symmetries of differential equations with short digressions to the underdetermined case and the relevant differential equations with delay. It may be regarded as an introduction into the method of moving frames relieved of the geometrical aspects: the stress is made on the technique of calculations employing only the most fundamental properties of differential forms. The present Part I is devoted to a single ordinary differential equation subjected to the change of the independent variable, the unknown function is preserved.
Classification : 34A25, 34A26, 34C14, 53B21
Keywords: moving coframe; equivalence of differential equations; symmetry of differential equations; differential invariant; Maurer-Cartan form 
@article{ARM_2003__39_4_a7,
     author = {Tryhuk, V\'aclav and Dlouh\'y, Old\v{r}ich},
     title = {The moving frames for differential equations. {I.} {The} change of independent variable},
     journal = {Archivum mathematicum},
     pages = {317--333},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {2003},
     mrnumber = {2032105},
     zbl = {1116.34301},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a7/}
}
TY  - JOUR
AU  - Tryhuk, Václav
AU  - Dlouhý, Oldřich
TI  - The moving frames for differential equations. I. The change of independent variable
JO  - Archivum mathematicum
PY  - 2003
SP  - 317
EP  - 333
VL  - 39
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a7/
LA  - en
ID  - ARM_2003__39_4_a7
ER  - 
%0 Journal Article
%A Tryhuk, Václav
%A Dlouhý, Oldřich
%T The moving frames for differential equations. I. The change of independent variable
%J Archivum mathematicum
%D 2003
%P 317-333
%V 39
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a7/
%G en
%F ARM_2003__39_4_a7
Tryhuk, Václav; Dlouhý, Oldřich. The moving frames for differential equations. I. The change of independent variable. Archivum mathematicum, Tome 39 (2003) no. 4, pp. 317-333. http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a7/