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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 3, Pages 373–396
DOI: https://doi.org/10.1070/SM1972v018n03ABEH001825 (Mi sm3239) 		 
This article is cited in 29 scientific papers (total in 29 papers)

The degree of a quasi-ruled mapping and a nonlinear Hilbert problem

A. I. Shnirel'man
English version PDF (1342 kB) Citations (29)
References:
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DOI: https://doi.org/10.1070/SM1972v018n03ABEH001825
Abstract: In this paper we present the theory of the degree of a mapping for a class, containing nonlinear (pseudo) differential operators, of nonlinear mappings in Banach spaces. This theory is applied to prove the existence of solutions to nonlinear boundary value problems in the theory of analytic functions, under some purely topological hypotheses.
Bibliography: 11 titles.
Received: 13.12.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 3(11), Pages 366–389
Bibliographic databases:
UDC: 517.54
MSC: Primary 30A88, 55C25; Secondary 30A30, 45G05
Language: English
Original paper language: Russian
Citation: A. I. Shnirel'man, “The degree of a quasi-ruled mapping and a nonlinear Hilbert problem”, Mat. Sb. (N.S.), 89(131):3(11) (1972), 366–389; Math. USSR-Sb., 18:3 (1972), 373–396
Citation in format AMSBIB
\Bibitem{Shn72}
\by A.~I.~Shnirel'man
\paper The degree of a~quasi-ruled mapping and a~nonlinear Hilbert problem
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 3(11)
\pages 366--389
\mathnet{http://mi.mathnet.ru/sm3239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=326521}
\zmath{https://zbmath.org/?q=an:0249.55003}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 3
\pages 373--396
\crossref{https://doi.org/10.1070/SM1972v018n03ABEH001825}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:131
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    References:80
     
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