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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

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.

UDC: 519.97

Received: 18.04.2016

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2017, 61:1, 81–84

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