Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 491, Pages 44–46
DOI: https://doi.org/10.31857/S2686954320020241 (Mi danma47) 		 
This article is cited in 9 scientific papers (total in 9 papers)

MATHEMATICS

On global classical solutions of hyperbolic differential-difference equations

N. V. Zaitseva

Kazan (Volga Region) Federal University, Kazan, Russian Federation
Full-text PDF (91 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954320020241
Abstract: A one-parameter family of global solutions of a two-dimensional hyperbolic differential-difference equation with an operator acting with respect to a space variable is constructed. A theorem is proved stating that the resulting solutions are classical for all parameter values if the symbol of the difference operator of the equation has a positive real part. Classes of equations for which this condition is satisfied are given.
Keywords: hyperbolic equation, differential-difference equation, classical solution, Fourier transform.
Presented: E. I. Moiseev
Received: 06.01.2020
Revised: 06.01.2020
Accepted: 14.02.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 2, Pages 115–116
DOI: https://doi.org/10.1134/S1064562420020246
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. V. Zaitseva, “On global classical solutions of hyperbolic differential-difference equations”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 44–46; Dokl. Math., 101:2 (2020), 115–116
Citation in format AMSBIB
\Bibitem{Zai20}
\by N.~V.~Zaitseva
\paper On global classical solutions of hyperbolic differential-difference equations
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 491
\pages 44--46
\mathnet{http://mi.mathnet.ru/danma47}
\crossref{https://doi.org/10.31857/S2686954320020241}
\zmath{https://zbmath.org/?q=an:1477.35101}
\elib{https://elibrary.ru/item.asp?id=42860659}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 2
\pages 115--116
\crossref{https://doi.org/10.1134/S1064562420020246}
Linking options:
  • https://www.mathnet.ru/eng/danma47
  • https://www.mathnet.ru/eng/danma/v491/p44
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:106
    Full-text PDF :33
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024