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A problem on brachistochrone as invariant variational problem

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Abstract

Based on the modified theory of invariant variational problems developed by the author, we describe a theoretical group approach to the problem of brachistochrone.

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Author information

Authors and Affiliations

  1. Kazan National Research Technical University named after A. N. Tupolev, ul. K. Marksa 10, Kazan, 420111, Russia

    K. G. Garaev

Authors
  1. K. G. Garaev
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  2. L. A. Aksent’ev
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Corresponding author

Correspondence to K. G. Garaev.

Additional information

Original Russian Text © K.G. Garaev, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 1, pp. 92–96.

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Garaev, K.G., Aksent’ev, L.A. A problem on brachistochrone as invariant variational problem. Russ Math. 61, 81–84 (2017). https://doi.org/10.3103/S1066369X17010108

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  • DOI: https://doi.org/10.3103/S1066369X17010108

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