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 6(80), Pages 39–47 (Mi vsgu192)  
This article is cited in 7 scientific papers (total in 7 papers)

Mathematics

Dirichlet problem for loaded equation of Lavrentiev–Bizadze

E. P. Melisheva

Dept. of Mathematical Analysis, Samara State Academy of Social Sciences and Humanities, Samara, 443090, Russian Federation
Full-text PDF (528 kB) Citations (7)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
Abstract: Necessary and sufficient conditions of the uniqueness of solution of the first boundary problem for the loaded equtation of Lavrentiev–Bitsadze in the rectangular area are established in this work.The solution of the task in view is constructed in the form of the number sum on the own functions of a corresponding one-dimensional problem on the own values.
Keywords: loaded equation of the mixed type, Dirichlet problem, spectral method, uniqueness, existence.
Received: 12.05.2010
Revised: 12.05.2010
Document Type: Article
UDC: 517.95
Language: Russian
Citation: E. P. Melisheva, “Dirichlet problem for loaded equation of Lavrentiev–Bizadze”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 6(80), 39–47
Citation in format AMSBIB
\Bibitem{Mel10}
\by E.~P.~Melisheva
\paper Dirichlet problem for loaded equation of Lavrentiev--Bizadze
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 6(80)
\pages 39--47
\mathnet{http://mi.mathnet.ru/vsgu192}
Linking options:
  • https://www.mathnet.ru/eng/vsgu192
  • https://www.mathnet.ru/eng/vsgu/y2010/i6/p39
    • 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
    		Вестник Самарского государственного университета. Естественнонаучная серия
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024