Automorphisms of Ordinary Differential Equations
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Date
2014-01-29
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ORCID
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Referee
Mark
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Hindawi Publishing Corporation
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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.
Článek se zabývá v plné obecnosti lokální teorií vnitřních symetrií nedourčených diferenciálních rovnic.
Článek se zabývá v plné obecnosti lokální teorií vnitřních symetrií nedourčených diferenciálních rovnic.
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Keywords
Symetrie diferenciálních rovnic, transformace vyšších řádů, variace, infinitesimální symetrie, difiety, Poincar\'e--Cartanovy formy, problém ekvivalence., Symmetry of differential equation, higher--order transformation, variation, infinitesimal symmetry, diffiety, controllable differential equation, constrained variational integral, Poincar\'e--Cartan form, general equivalence problem.
Citation
Abstract and Applied Analysis. 2014, vol. 2014, issue ID 482963, p. 1-32.
http://dx.doi.org/10.1155/2014/482963
http://dx.doi.org/10.1155/2014/482963
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Peer-reviewed
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en