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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 5, Pages 28–37 (Mi ivm8892)  
The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel

I. L. Oinas, T. A. Sivacheva, Z. B. Tsalyuk

Chair of Differential and Integral Equations, Kuban State University, 149 Stavropol'skaya str., Krasnodar, 350040 Russia
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Abstract: We find the asymptotic structure of the resolvent for the various cases of zeros symbol for the discrete difference equations of recovery with the nonsummable kernel.
Keywords: resolvent, kernel, $l_1$-space, sequence.
Received: 27.11.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 5, Pages 21–29
DOI: https://doi.org/10.3103/S1066369X1405003X
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: I. L. Oinas, T. A. Sivacheva, Z. B. Tsalyuk, “The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5, 28–37; Russian Math. (Iz. VUZ), 58:5 (2014), 21–29
Citation in format AMSBIB
\Bibitem{OinSivTsa14}
\by I.~L.~Oinas, T.~A.~Sivacheva, Z.~B.~Tsalyuk
\paper The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 5
\pages 28--37
\mathnet{http://mi.mathnet.ru/ivm8892}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 5
\pages 21--29
\crossref{https://doi.org/10.3103/S1066369X1405003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899837715}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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