Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 2, Pages 286–300
DOI: https://doi.org/10.1134/S0044466919020091 (Mi zvmmf10836) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation

A. P. Khromov, V. V. Kornev

Saratov National Research State University, Saratov, 410012 Russia
Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919020091
Abstract: A.N. Krylov's ideas concerning convergence acceleration for Fourier series are used to obtain explicit expressions for the classical solution of a mixed problem for a nonhomogeneous equation and explicit expressions for a generalized solution in the case of arbitrary summable $q(x)$, $\varphi (x)$, $\psi (x)$, and $f(x,t)$ .
Key words: Fourier method, wave equation, summable potential, classical solution, generalized solution.
Received: 02.05.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 2, Pages 275–289
DOI: https://doi.org/10.1134/S096554251902009X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. P. Khromov, V. V. Kornev, “Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 286–300; Comput. Math. Math. Phys., 59:2 (2019), 275–289
Citation in format AMSBIB
\Bibitem{KhrKor19}
\by A.~P.~Khromov, V.~V.~Kornev
\paper Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 2
\pages 286--300
\mathnet{http://mi.mathnet.ru/zvmmf10836}
\crossref{https://doi.org/10.1134/S0044466919020091}
\elib{https://elibrary.ru/item.asp?id=36962814}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 2
\pages 275--289
\crossref{https://doi.org/10.1134/S096554251902009X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000468087400010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065966710}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10836
  • https://www.mathnet.ru/eng/zvmmf/v59/i2/p286
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:251
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024