Publication detail

Automorphisms of Ordinary Differential Equations

TRYHUK, V. CHRASTINOVÁ, V.

Original Title

Automorphisms of Ordinary Differential Equations

Type

journal article in Web of Science

Language

English

Original Abstract

The paper deals with the local theory of internal symmetries of underdetermined systems of ordinary differential equations in full generality. The symmetries need not preserve the choice of the independent variable, the hierarchy of dependent variables, and the order of derivatives. Internal approach to the symmetries of one-dimensional constrained variational integrals is moreover proposed without the use of multipliers.

Keywords

Symmetry of differential equation; higher--order transformation; variation; infinitesimal symmetry; diffiety; controllable differential equation; constrained variational integral; Poincar\'e--Cartan form; general equivalence problem.

Authors

TRYHUK, V.; CHRASTINOVÁ, V.

RIV year

2014

Released

29. 1. 2014

Publisher

Hindawi Publishing Corporation

Location

USA

ISBN

1085-3375

Periodical

Abstract and Applied Analysis

Year of study

2014

Number

ID 482963

State

United States of America

Pages from

1

Pages to

32

Pages count

32

URL

http://dx.doi.org/10.1155/2014/482963

Full text in the Digital Library

http://hdl.handle.net/11012/137073

BibTex

@article{BUT105046,
  author="Václav {Tryhuk} and Veronika {Chrastinová}",
  title="Automorphisms of Ordinary Differential Equations",
  journal="Abstract and Applied Analysis",
  year="2014",
  volume="2014",
  number="ID 482963",
  pages="1--32",
  doi="10.1155/2014/482963",
  issn="1085-3375",
  url="http://dx.doi.org/10.1155/2014/482963"
}