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Mathematics of the USSR-Sbornik, 1992, Volume 71, Issue 2, Pages 427–446
DOI: https://doi.org/10.1070/SM1992v071n02ABEH001404 (Mi sm1249) 		 
This article is cited in 31 scientific papers (total in 31 papers)

Spectra of nonlinear differential equations and widths of Sobolev classes

A. P. Buslaev, V. M. Tikhomirov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (1025 kB) Citations (31)
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DOI: https://doi.org/10.1070/SM1992v071n02ABEH001404
Abstract: The authors study the problem of Kolmogorov widths of Sobolev classes $W_p^r([0,1])$ of functions in the $L_q$-metric, $p\geqslant q$, and the connected questions of the existence and uniqueness of the spectra of nonlinear equations.
Received: 27.04.1990
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 12, Pages 1587–1606
Bibliographic databases:
UDC: 517.5+517.9
MSC: 41A46, 34B15, 46E35
Language: English
Original paper language: Russian
Citation: A. P. Buslaev, V. M. Tikhomirov, “Spectra of nonlinear differential equations and widths of Sobolev classes”, Mat. Sb., 181:12 (1990), 1587–1606; Math. USSR-Sb., 71:2 (1992), 427–446
Citation in format AMSBIB
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\paper Spectra of nonlinear differential equations and widths of Sobolev classes
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\yr 1990
\vol 181
\issue 12
\pages 1587--1606
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\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 71
\issue 2
\pages 427--446
\crossref{https://doi.org/10.1070/SM1992v071n02ABEH001404}
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  • https://doi.org/10.1070/SM1992v071n02ABEH001404
  • https://www.mathnet.ru/eng/sm/v181/i12/p1587
    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
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    Abstract page:702
    Russian version PDF:223
    English version PDF:15
    References:82
    First page:3
     
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