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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 1, Pages 92–96 (Mi ivm9200)  

This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

A problem on branchistochrone as invariant variational problem

K. G. Garaev

Kazan National Research Technical University named after A.N. Tupolev, 10 K. Marks str., Kazan, 420111 Russia
Full-text PDF (161 kB) Citations (1)
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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 solving a problem of branchistochrone.
Keywords: branchistochrone, functional, first integral, conformal invariance, infinitesimal operator, time of steepest descent.
Received: 18.04.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 1, Pages 81–84
DOI: https://doi.org/10.3103/S1066369X17010108
Bibliographic databases:
Document Type: Article
UDC: 519.97
Language: Russian
Citation: K. G. Garaev, “A problem on branchistochrone as invariant variational problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 1, 92–96; Russian Math. (Iz. VUZ), 61:1 (2017), 81–84
Citation in format AMSBIB
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\pages 92--96
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\yr 2017
\vol 61
\issue 1
\pages 81--84
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  • https://www.mathnet.ru/eng/ivm/y2017/i1/p92
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :66
    References:26
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