Eurasian Mathematical Journal
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


Eurasian Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Eurasian Mathematical Journal, 2022, Volume 13, Number 3, Pages 41–50
DOI: https://doi.org/10.32523/2077-9879-2022-13-3-41-50 (Mi emj445) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Propagation of nonsmooth waves under singular perturbations of the wave equation

B. E. Kanguzhin

Al-Farabi Kazakh National University, 71 al-Farabi Ave, 050000 Almaty, Kazakhstan
Full-text PDF (368 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.32523/2077-9879-2022-13-3-41-50
Abstract: The method of characteristics for the wave equation can be applied not only for unbounded strings. The method of incident and reflected waves is effectively used in the case of a mixed problem for a bounded string. This method can also be modified for multipoint mixed problems for the wave equation. In this paper, the method of incident and reflected waves is adapted for multi-point problems with discontinuous derivatives. An analogue of the d'Alembert formula for discontinuous multipoint problems for the wave equation in the case of a bounded string is proved.
Keywords and phrases: delta-shaped perturbations, evolution equation, singular perturbations, wave equation.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855402
This work was supported by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan, project no. AP08855402.
Received: 26.01.2021
Bibliographic databases:
Document Type: Article
MSC: 58J32, 35J05, 35J56, 35J08
Language: English
Citation: B. E. Kanguzhin, “Propagation of nonsmooth waves under singular perturbations of the wave equation”, Eurasian Math. J., 13:3 (2022), 41–50
Citation in format AMSBIB
\Bibitem{Kan22}
\by B.~E.~Kanguzhin
\paper Propagation of nonsmooth waves under singular perturbations of the wave equation
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 3
\pages 41--50
\mathnet{http://mi.mathnet.ru/emj445}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-3-41-50}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4494211}
Linking options:
  • https://www.mathnet.ru/eng/emj445
  • https://www.mathnet.ru/eng/emj/v13/i3/p41
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025