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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) Russian version article
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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
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. 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. Math.
\yr 2002
\vol 66
\issue 3
\pages 595--610
\mathnet{http://mi.mathnet.ru//eng/im390}
\crossref{https://doi.org/10.1070/IM2002v066n03ABEH000390}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1921812}
\zmath{https://zbmath.org/?q=an:1028.60091}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748502143}
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  • 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
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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