Detail publikačního výsledku

Automorphisms of Ordinary Differential Equations

TRYHUK, V.; CHRASTINOVÁ, V.

Originální název

Automorphisms of Ordinary Differential Equations

Anglický název

Automorphisms of Ordinary Differential Equations

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

TRYHUK, V.; CHRASTINOVÁ, V.

Rok RIV

2015

Vydáno

29.01.2014

Nakladatel

Hindawi Publishing Corporation

Místo

USA

ISSN

1085-3375

Periodikum

Abstract and Applied Analysis

Svazek

2014

Číslo

ID 482963

Stát

Spojené státy americké

Strany od

1

Strany do

32

Strany počet

32

URL

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

Plný text v Digitální knihovně

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"
}

Dokumenty

482963