Publication detail

The equivalence of differential equations and symmetries - remark

TRYHUK, V.

Czech title

Ekvivalence diferenciálních rovnic a symetrie - poznámka

English title

The equivalence of differential equations and symmetries - remark

Type

conference paper

Language

en

Original abstract

By applying the moving frames to the Monge equation $y'=f(x,y,z_1,\ldots,z_m),$ with arrangement $z_i(x)=y_i(\xi_i(x)),L_i(x)=M_i(\xi_i(x)),$ we obtain a large hierarchy of classes of differential equations of the first order with deviations which admit the transformation $\bar y(\varphi(x))=L(x)y(x).$

Czech abstract

Použitím metody pohyblivého reperu na Mongeovu rovnici $y'=f(x,y,z_1,\ldots,z_m),$ se vztahy $z_i(x)=y_i(\xi_i(x)),L_i(x)=M_i(\xi_i(x)),$ získáme velkou strukturu tříd diferenciálních rovnic prvního řádu s odchýlenými argumenty, které dovolují transformace tvaru $\bar y(\varphi(x))=L(x)y(x).$

English abstract

By applying the moving frames to the Monge equation $y'=f(x,y,z_1,\ldots,z_m),$ with arrangement $z_i(x)=y_i(\xi_i(x)),L_i(x)=M_i(\xi_i(x)),$ we obtain a large hierarchy of classes of differential equations of the first order with deviations which admit the transformation $\bar y(\varphi(x))=L(x)y(x).$

Keywords in English

differential equations, transformations, moving frames, the equivalence problem, symmetry

Released

01.01.2002

Publisher

ECON publishing, s.r.o.

Location

Brno

ISBN

80-86433-16-1

Book

1. mezinárodní matematický workshop

Pages from–to

1–2

Pages count

2

BIBTEX


@inproceedings{BUT7734,
  author="Václav {Tryhuk},
  title="The equivalence of differential equations and symmetries – remark",
  booktitle="1. mezinárodní matematický workshop",
  year="2002",
  month="January",
  pages="1--2",
  publisher="ECON publishing, s.r.o.",
  address="Brno",
  isbn="80-86433-16-1"
}