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Mathematics of the USSR-Sbornik, 1977, Volume 33, Issue 3, Pages 427–446
DOI: https://doi.org/10.1070/SM1977v033n03ABEH002431 (Mi sm2954) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On qualitative properties of solutions of quasilinear mixed problems for equations of parabolic type

T. I. Zelenyak
English version PDF (1362 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/SM1977v033n03ABEH002431
Abstract: In this paper mixed problems for quasilinear equations of parabolic type are studied. Criteria are established for the negativeness of the spectrum of the linearized problems in the neighborhood of steady state solutions, and necessary and sufficient conditions are obtained for the stability of the steady state solutions of the nonlinear problems. The domains of attraction are also investigated. The results are illustrated by a series of examples.
Bibliography: 42 titles.
Received: 13.06.1977
Bibliographic databases:
UDC: 517.946
MSC: Primary 35B35, 35K55; Secondary 35B40, 35B45
Language: English
Original paper language: Russian
Citation: T. I. Zelenyak, “On qualitative properties of solutions of quasilinear mixed problems for equations of parabolic type”, Math. USSR-Sb., 33:3 (1977), 427–446
Citation in format AMSBIB
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\by T.~I.~Zelenyak
\paper On~qualitative properties of solutions of quasilinear mixed problems for equations of parabolic type
\jour Math. USSR-Sb.
\yr 1977
\vol 33
\issue 3
\pages 427--446
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487027}
\zmath{https://zbmath.org/?q=an:0371.35023|0398.35006}
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  • https://www.mathnet.ru/eng/sm/v146/i3/p486
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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