# The moving frames for differential equations. I. The change of independent variable

Archivum Mathematicum (2003)

- Volume: 039, Issue: 4, page 317-333
- ISSN: 0044-8753

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topTryhuk, Václav, and Dlouhý, Oldřich. "The moving frames for differential equations. I. The change of independent variable." Archivum Mathematicum 039.4 (2003): 317-333. <http://eudml.org/doc/249139>.

@article{Tryhuk2003,

abstract = {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.},

author = {Tryhuk, Václav, Dlouhý, Oldřich},

journal = {Archivum Mathematicum},

keywords = {moving coframe; equivalence of differential equations; symmetry of differential equations; differential invariant; Maurer-Cartan form; moving coframe; equivalence of differential equations; symmetry of differential equations; differential invariant; Maurer-Cartan form},

language = {eng},

number = {4},

pages = {317-333},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {The moving frames for differential equations. I. The change of independent variable},

url = {http://eudml.org/doc/249139},

volume = {039},

year = {2003},

}

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

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 039

IS - 4

SP - 317

EP - 333

AB - 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.

LA - eng

KW - moving coframe; equivalence of differential equations; symmetry of differential equations; differential invariant; Maurer-Cartan form; moving coframe; equivalence of differential equations; symmetry of differential equations; differential invariant; Maurer-Cartan form

UR - http://eudml.org/doc/249139

ER -

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