Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 3(24), Pages 26–34
DOI: https://doi.org/10.14498/vsgtu852 (Mi vsgtu852) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Differential Equations

On one non-local problem for axisymmetric Helmholtz equation

A. A. Abashkin

Dept. of High Mathematics, Samara State Academy of Architecture and Construction, Samara
Full-text PDF (192 kB) Citations (3)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu852
Abstract: Non-local boundary problem for the axisymmetric Helmholtz equation is explored. The uniqueness of the solution is proved by the spectral method. The conditions of solvability are found. The solution of the problem is constructed in the form of the biorthogonal series.
Keywords: Helmholtz equation, Bessel functions, non-local boundary problem, Riesz basis.
Original article submitted 01/XII/2010
revision submitted – 15/VIII/2011
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: Primary 35J05; Secondary 35J25, 35B30
Language: Russian
Citation: A. A. Abashkin, “On one non-local problem for axisymmetric Helmholtz equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(24) (2011), 26–34
Citation in format AMSBIB
\Bibitem{Aba11}
\by A.~A.~Abashkin
\paper On one non-local problem for axisymmetric Helmholtz equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 3(24)
\pages 26--34
\mathnet{http://mi.mathnet.ru/vsgtu852}
\crossref{https://doi.org/10.14498/vsgtu852}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu852
  • https://www.mathnet.ru/eng/vsgtu/v124/p26
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025