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Matematicheskie Zametki, 1976, Volume 20, Issue 6, Pages 847–858 (Mi mzm7916)  

This article is cited in 7 scientific papers (total in 7 papers)

The Euler–Jacobi equation in variational calculus

A. V. Dmitruk

M. V. Lomonosov Moscow State University
Full-text PDF (909 kB) Citations (7)
Abstract: The use of the method of the Euler–Jacobi equation is considered in the study of a quadratic functional defined on a cone. Such functionals occur in the variation of optimal-control problems. Several concepts are introduced with the aid of which the Euler–Jacobi equation is extended and the application of this method is justified also in the case that the equation is not a linear differential equation.
Received: 31.10.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 6, Pages 1032–1038
DOI: https://doi.org/10.1007/BF01095198
Bibliographic databases:
UDC: 519.3
Language: Russian
Citation: A. V. Dmitruk, “The Euler–Jacobi equation in variational calculus”, Mat. Zametki, 20:6 (1976), 847–858; Math. Notes, 20:6 (1976), 1032–1038
Citation in format AMSBIB
\Bibitem{Dmi76}
\by A.~V.~Dmitruk
\paper The Euler--Jacobi equation in variational calculus
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 6
\pages 847--858
\mathnet{http://mi.mathnet.ru/mzm7916}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=440446}
\zmath{https://zbmath.org/?q=an:0356.49009}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 6
\pages 1032--1038
\crossref{https://doi.org/10.1007/BF01095198}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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