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Automorphisms of Ordinary Differential Equations

Author

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  • Václav Tryhuk
  • Veronika Chrastinová

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.

Suggested Citation

  • Václav Tryhuk & Veronika Chrastinová, 2014. "Automorphisms of Ordinary Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:482963
    DOI: 10.1155/2014/482963
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    References listed on IDEAS

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    1. V. Tryhuk & V. Chrastinová & O. Dlouhý, 2011. "The Lie Group in Infinite Dimension," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. V. Tryhuk & V. Chrastinová & O. Dlouhý, 2011. "The Lie Group in Infinite Dimension," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-35, February.
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