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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 353 scientific papers (total in 354 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 (354) Russian version article
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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
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”, 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 Russian Math. Surveys
\yr 1975
\vol 30
\issue 5
\pages 77--113
\mathnet{http://mi.mathnet.ru//eng/rm4238}
\crossref{https://doi.org/10.1070/RM1975v030n05ABEH001522}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=508337}
\zmath{https://zbmath.org/?q=an:0334.58007}
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    • This publication is cited in the following 354 articles:
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    Abstract page:1995
    Russian version PDF:750
    English version PDF:74
    References:117
    First page:7
     
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