Publication result detail

Invertible transformations of differential equations

TRYHUK, V.

Original Title

Invertible transformations of differential equations

English Title

Invertible transformations of differential equations

Type

Paper in proceedings (conference paper)

Original Abstract

We mention the concept of the most general transformations of a~system of ordinary differential equations $e^k(x,y^1_0,\ldots ,y^m_0,\ldots ,y^1_R,\ldots ,y^m_R)=0\ (k=1,\ldots, K;\ y^i_r=\mbox{d}^ry^i/\mbox{d}x^r)$. As particular example, explicit formulae of a~new kind of higher order generalizations of contact transformations of curves in three-dimensional space are given.

English abstract

We mention the concept of the most general transformations of a~system of ordinary differential equations $e^k(x,y^1_0,\ldots ,y^m_0,\ldots ,y^1_R,\ldots ,y^m_R)=0\ (k=1,\ldots, K;\ y^i_r=\mbox{d}^ry^i/\mbox{d}x^r)$. As particular example, explicit formulae of a~new kind of higher order generalizations of contact transformations of curves in three-dimensional space are given.

Keywords

differential equations, automorphisms of curves, generalized contact transformations

Key words in English

differential equations, automorphisms of curves, generalized contact transformations

Authors

TRYHUK, V.

Released

09.02.2007

Publisher

FX spol. s.r.o.

Location

Bratislava

ISBN

978-80-969562-8-9

Book

6th International Conference APLIMAT 2007

Pages from

315

Pages to

318

Pages count

4

BibTex

@inproceedings{BUT28869,
  author="Václav {Tryhuk}",
  title="Invertible transformations of differential equations",
  booktitle="6th International Conference APLIMAT 2007",
  year="2007",
  number="1",
  pages="315--318",
  publisher="FX spol. s.r.o.",
  address="Bratislava",
  isbn="978-80-969562-8-9"
}