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Mathematics of the USSR-Izvestiya, 1987, Volume 28, Issue 1, Pages 1–19
DOI: https://doi.org/10.1070/IM1987v028n01ABEH000863 (Mi im1468) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the question of extension of multidimensional variational problems

F. V. Guseinov
English version PDF (839 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1987v028n01ABEH000863
Abstract: The extension of multidimensional variational problems is investigated. In particular, a multidimensional analogue of the Bogolyubov theorem on extension of a simple problem of the calculus of variations is proved. The problem of the closure of the class of functions of several variables with derivatives in a given set is considered. This problem is closely connected with the extension of variational problems.
Bibliography: 16 titles.
Received: 25.03.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 1, Pages 3–21
Bibliographic databases:
UDC: 517.97
MSC: Primary 49A29, 49B99; Secondary 46E35
Language: English
Original paper language: Russian
Citation: F. V. Guseinov, “On the question of extension of multidimensional variational problems”, Izv. Akad. Nauk SSSR Ser. Mat., 50:1 (1986), 3–21; Math. USSR-Izv., 28:1 (1987), 1–19
Citation in format AMSBIB
\Bibitem{Gus86}
\by F.~V.~Guseinov
\paper On the question of extension of multidimensional variational problems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1986
\vol 50
\issue 1
\pages 3--21
\mathnet{http://mi.mathnet.ru/im1468}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=835563}
\zmath{https://zbmath.org/?q=an:0613.49009|0597.49006}
\transl
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 1
\pages 1--19
\crossref{https://doi.org/10.1070/IM1987v028n01ABEH000863}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:446
    Russian version PDF:103
    English version PDF:22
    References:74
    First page:1
     
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