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Matematicheskie Zametki, 1970, Volume 8, Issue 3, Pages 273–284 (Mi mzm9563)  
This article is cited in 6 scientific papers (total in 7 papers)

Asymptotic properties of a solution of a boundary-value problem

A. M. Il'in

V. A. Steklov Mathematics Institute, Sverdlovsk Branch
Full-text PDF (991 kB) Citations (7)
Abstract: The asymptotic behavior of the solution of a boundary-value problem for the equation $u_{txx}+u_x=f$ when the time tends to infinity is investigated. It is proved that the time mean of the solution tends to a stationary solution everywhere except in a boundary region at the left end of the interval.
Received: 10.02.1970
English version:
Mathematical Notes, 1970, Volume 8, Issue 3, Pages 625–631
DOI: https://doi.org/10.1007/BF01159056
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. M. Il'in, “Asymptotic properties of a solution of a boundary-value problem”, Mat. Zametki, 8:3 (1970), 273–284; Math. Notes, 8:3 (1970), 625–631
Citation in format AMSBIB
\Bibitem{Ili70}
\by A.~M.~Il'in
\paper Asymptotic properties of a solution of a boundary-value problem
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 3
\pages 273--284
\mathnet{http://mi.mathnet.ru/mzm9563}
\zmath{https://zbmath.org/?q=an:0203.10102}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 3
\pages 625--631
\crossref{https://doi.org/10.1007/BF01159056}
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  • https://www.mathnet.ru/eng/mzm/v8/i3/p273
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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