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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2019 Volume 12, Issue 1, Pages 125–129 (Mi jsfu733)

This article is cited in 1 paper

On a transversality condition for one variation problem with moving boundary

Sergey O. Gladkov

Moscow Aviation Institute (National Research University), Volokolamskoe shosse, 4, Moscow, 125993, Russia

Abstract: We give an algorithm to obtain a transversality condition for one variation problem with a moving boundary when a functional contains derivatives of order $n$ of functions of one variable. A mathematical justification of the this approach is given.

Keywords: variation, curvature, moving boundary, functional, transversality condition.

UDC: 517.97

Received: 14.09.2018
Received in revised form: 16.10.2018
Accepted: 20.11.2018

Language: English

DOI: 10.17516/1997-1397-2019-12-1-125-129



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