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Invariance of functionals and related Euler–Lagrange equations

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Abstract

We establish a connection between symmetries of functionals and symmetries of the corresponding Euler–Lagrange equations. A similar problem is investigated for equations with quasi-B u -potential operators.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russia

    V. M. Savchin & S. A. Budochkina

Authors
  1. V. M. Savchin
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  2. S. A. Budochkina
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Corresponding author

Correspondence to V. M. Savchin.

Additional information

Original Russian Text ©V.M. Savchin, S.A. Budochkina, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 2, pp. 58–64.

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Savchin, V.M., Budochkina, S.A. Invariance of functionals and related Euler–Lagrange equations. Russ Math. 61, 49–54 (2017). https://doi.org/10.3103/S1066369X17020062

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  • DOI: https://doi.org/10.3103/S1066369X17020062

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