Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 2002, Volume 66, Issue 3, Pages 595–610
DOI: https://doi.org/10.1070/IM2002v066n03ABEH000390 (Mi im390) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Semimultiplicative estimates for the solution of the multidimensional renewal equation

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
English version PDF (218 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2002v066n03ABEH000390
Abstract: Expansions with semimultiplicative estimates for the remainders are found for the solutions of the multidimensional renewal equation. The effect of the roots of the characteristic equation on the asymptotic expression for the solution is taken into consideration. These results are used to investigate the asymptotic behaviour of the average number of particles in relation to the age of the branching processes in several cases.
Received: 23.02.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 3, Pages 159–174
DOI: https://doi.org/10.4213/im390
Bibliographic databases:
UDC: 517.968.28+519.218.24
MSC: 28A33, 46E27, 60J80, 60K05, 60K15, 60K25
Language: English
Original paper language: Russian
Citation: M. S. Sgibnev, “Semimultiplicative estimates for the solution of the multidimensional renewal equation”, Izv. RAN. Ser. Mat., 66:3 (2002), 159–174; Izv. Math., 66:3 (2002), 595–610
Citation in format AMSBIB
\Bibitem{Sgi02}
\by M.~S.~Sgibnev
\paper Semimultiplicative estimates for the solution of the multidimensional renewal equation
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 3
\pages 159--174
\mathnet{http://mi.mathnet.ru/im390}
\crossref{https://doi.org/10.4213/im390}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1921812}
\zmath{https://zbmath.org/?q=an:1028.60091}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 3
\pages 595--610
\crossref{https://doi.org/10.1070/IM2002v066n03ABEH000390}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748502143}
Linking options:
  • https://www.mathnet.ru/eng/im390
  • https://doi.org/10.1070/IM2002v066n03ABEH000390
  • https://www.mathnet.ru/eng/im/v66/i3/p159
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:383
    Russian version PDF:176
    English version PDF:13
    References:64
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024