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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1982 Volume 46, Issue 5, Pages 1082–1105 (Mi im1662)

This article is cited in 1 paper

On the system of Jacobi equations in a time-optimal problem

N. T. Tynyanskii, A. V. Arutyunov


Abstract: A perturbation method is used to obtain second-order conditions in a nonautonomous time-optimal problem with vectorgram of full dimension. These conditions are formulated in the language of focal points in the classical variational calculus.
Bibliography: 16 titles.

UDC: 519.3

MSC: Primary 49B10, 49C05; Secondary 34H05, 49D29

Received: 21.10.1980


 English version:
Mathematics of the USSR-Izvestiya, 1983, 21:2, 375–397

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