Ufa 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


Ufimsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Ufa Mathematical Journal, 2014, Volume 6, Issue 4, Pages 60–67
DOI: https://doi.org/10.13108/2014-6-4-60 (Mi ufa260) 		 
Generalized solutions and Euler–Darboux transformations

I. V. Verevkin

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
English version PDF (308 kB)
References:
PDF
HTML
DOI: https://doi.org/10.13108/2014-6-4-60
Abstract: We introduce Euler–Darboux transformation for non-homogeneous differential equations with the right-hand side being a generalized function. As an example, we construct the fundamental solutions for Klein–Gordon–Fock and Schrödinger equations with variable coefficients describing a particle in external scalar field.
Keywords: Euler–Darboux transformation, Klein–Gordon–Fock equation, Schrödinger equation, fundamental solution.
Received: 06.03.2014
Russian version:
Ufimskii Matematicheskii Zhurnal, 2014, Volume 6, Issue 4, Pages 63–70
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35A08, 35D99, 35Q40
Language: English
Original paper language: Russian
Citation: I. V. Verevkin, “Generalized solutions and Euler–Darboux transformations”, Ufimsk. Mat. Zh., 6:4 (2014), 63–70; Ufa Math. J., 6:4 (2014), 60–67
Citation in format AMSBIB
\Bibitem{Ver14}
\by I.~V.~Verevkin
\paper Generalized solutions and Euler--Darboux transformations
\jour Ufimsk. Mat. Zh.
\yr 2014
\vol 6
\issue 4
\pages 63--70
\mathnet{http://mi.mathnet.ru/ufa260}
\transl
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 4
\pages 60--67
\crossref{https://doi.org/10.13108/2014-6-4-60}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928230024}
Linking options:
  • https://www.mathnet.ru/eng/ufa260
  • https://doi.org/10.13108/2014-6-4-60
  • https://www.mathnet.ru/eng/ufa/v6/i4/p63
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
    Statistics & downloads:
    Abstract page:332
    Russian version PDF:149
    English version PDF:11
    References:66
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024