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Matematicheskie Zametki, 1997, Volume 62, Issue 1, Pages 88–94
DOI: https://doi.org/10.4213/mzm1590 (Mi mzm1590) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Asymptotic behavior of the resolvent of an unstable Volterra equation with kernel depending on the difference of the arguments

V. A. Derbenev, Z. B. Tsalyuk

Kuban State University
Full-text PDF (168 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm1590
Abstract: We present the structure of the resolvent of a difference kernel, which allows us to study the asymptotic behavior of the solution of the renewal equation for a given asymptotic behavior of the constant term. An asymptotic representation for the resolvent is obtained under minimal requirements on the moments of the kernel. Similar results are given for integro-differential equations.
Received: 17.07.1995
English version:
Mathematical Notes, 1997, Volume 62, Issue 1, Pages 74–79
DOI: https://doi.org/10.1007/BF02356066
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. A. Derbenev, Z. B. Tsalyuk, “Asymptotic behavior of the resolvent of an unstable Volterra equation with kernel depending on the difference of the arguments”, Mat. Zametki, 62:1 (1997), 88–94; Math. Notes, 62:1 (1997), 74–79
Citation in format AMSBIB
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\issue 1
\pages 88--94
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\transl
\jour Math. Notes
\yr 1997
\vol 62
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\pages 74--79
\crossref{https://doi.org/10.1007/BF02356066}
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  • https://doi.org/10.4213/mzm1590
  • https://www.mathnet.ru/eng/mzm/v62/i1/p88
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:47
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