Vestnik SamGU. Estestvenno-Nauchnaya Ser.
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 4(78), Pages 12–20 (Mi vsgu163)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On solvability of a nonlocal problem with nonlinear integral condition for a multidimensional hyperbolic equation

N. V. Beylina

Dept. of Mathematics and Applied Informatics, Samara State Technical University, Samara, 443100, Russia
Full-text PDF (566 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
Abstract: In this paper we study the solvability of a problem for a multidimensional w.r.t. spatial variables hyperbolic equation with a nonlinear integral condition on the lateral area. The unique solvability in the Sobolev space is proved. The proof is based on a priori estimates obtained in the article.
Keywords: nonlocal problem, integral condition, solvability.
Received: 25.03.2010
Revised: 25.03.2010
Document Type: Article
UDC: 517.95
Language: Russian
Citation: N. V. Beylina, “On solvability of a nonlocal problem with nonlinear integral condition for a multidimensional hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 4(78), 12–20
Citation in format AMSBIB
\Bibitem{Bey10}
\by N.~V.~Beylina
\paper On solvability of a~nonlocal problem with nonlinear integral condition for
a~multidimensional hyperbolic equation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 4(78)
\pages 12--20
\mathnet{http://mi.mathnet.ru/vsgu163}
Linking options:
  • https://www.mathnet.ru/eng/vsgu163
  • https://www.mathnet.ru/eng/vsgu/y2010/i4/p12
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного университета. Естественнонаучная серия
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025