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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2016, Issue 3-4, Pages 32–50 (Mi vsgu509)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

A nonlocal problem with integral condition for a fourth order equation

V. B. Dmitriev

Samara College of railway transport. A. A. Buyanova, Samara, 443066, Russian Federation
Full-text PDF (285 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: In this paper we consider initial-boundary problems with integral conditions for certain fourth order equation. Unique solvability of posed problems is proved. The proof is based on apriori estimates, regularization method, auxiliary problems method, embedding theorems.
Keywords: equation of 4-th order, nonlocal conditions, embedding theorems, generalized solution, Sobolev spaces.
Received: 22.06.2016
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
Language: Russian
Citation: V. B. Dmitriev, “A nonlocal problem with integral condition for a fourth order equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2016, no. 3-4, 32–50
Citation in format AMSBIB
\Bibitem{Dmi16}
\by V.~B.~Dmitriev
\paper A nonlocal problem with integral condition for a fourth order equation
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2016
\issue 3-4
\pages 32--50
\mathnet{http://mi.mathnet.ru/vsgu509}
\elib{https://elibrary.ru/item.asp?id=29389324}
Linking options:
  • https://www.mathnet.ru/eng/vsgu509
  • https://www.mathnet.ru/eng/vsgu/y2016/i3/p32
    • This publication is cited in the following 2 articles:
    1. V. B. Dmitriev, “Kraevaya zadacha s nelokalnym granichnym usloviem integralnogo vida dlya mnogomernogo uravneniya IV poryadka”, Vestn. SamU. Estestvennonauchn. ser., 27:1 (2021), 15–28  mathnet  crossref
    2. A. V. Dyuzheva, “Zadacha s integralnym usloviem I roda dlya uravneniya chetvertogo poryadka”, Vestn. SamU. Estestvennonauchn. ser., 25:1 (2019), 21–31  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного университета. Естественнонаучная серия
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    Full-text PDF :78
    References:53
     
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