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Russian Mathematical Surveys, 1975, Volume 30, Issue 5, Pages 77–113
DOI: https://doi.org/10.1070/RM1975v030n05ABEH001522 (Mi rm4238) 		 
This article is cited in 350 scientific papers (total in 351 papers)

Asymptotic benaviour of the resolvent of Sturm–Liouville equations and the algebra of the Korteweg–de Vries equations

I. M. Gel'fand, L. A. Dikii
English version PDF (1485 kB) Citations (351)
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DOI: https://doi.org/10.1070/RM1975v030n05ABEH001522
Abstract: This paper is concerned with a group of problems associated with recent results on non-linear equations of Korteweg-de Vries type. The second chapter is basically of a survey character and investigates connections between these equations and trace formulae. In the first chapter we develop a new algebraic formalism of the calculus of variations.
Received: 26.05.1975
Russian version:
Uspekhi Matematicheskikh Nauk, 1975, Volume 30, Issue 5(185), Pages 67–100
Bibliographic databases:
Document Type: Article
UDC: 517.4+510.3
MSC: 34B24, 34E05, 37K10, 12D10
Language: English
Original paper language: Russian
Citation: I. M. Gel'fand, L. A. Dikii, “Asymptotic benaviour of the resolvent of Sturm–Liouville equations and the algebra of the Korteweg–de Vries equations”, Uspekhi Mat. Nauk, 30:5(185) (1975), 67–100; Russian Math. Surveys, 30:5 (1975), 77–113
Citation in format AMSBIB
\Bibitem{GelDik75}
\by I.~M.~Gel'fand, L.~A.~Dikii
\paper Asymptotic benaviour of the resolvent of Sturm--Liouville equations and the algebra of the Korteweg--de~Vries equations
\jour Uspekhi Mat. Nauk
\yr 1975
\vol 30
\issue 5(185)
\pages 67--100
\mathnet{http://mi.mathnet.ru/rm4238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=508337}
\zmath{https://zbmath.org/?q=an:0334.58007}
\transl
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 5
\pages 77--113
\crossref{https://doi.org/10.1070/RM1975v030n05ABEH001522}
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  • https://www.mathnet.ru/eng/rm/v30/i5/p67
    • This publication is cited in the following 351 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1968
    Russian version PDF:747
    English version PDF:63
    References:115
    First page:7
     
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