The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel
type: Item
instance of: scholarly article
title: The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel
zbMATH Open document ID: 1305.39002
DOI: 10.3103/S1066369X1405003X
author: I. L. Oinas
author: T. A. Sivacheva
author: Z. B. Tsalyuk
published in: Russian Mathematics
publication date: 2014-10-31T00:00:00Z
review text: For the discrete renewal equation \[ \displaystyle{x_n = \sum_0^na_{n-k}x_k + f_n\;,\;n=0,1,2,\ldots}, \] the authors study the asymptotics of the kernel sequence \(\{a_n\}_n\), when this sequence is not in \(l^1\). Complex domain arguments are used.
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 39A06
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 60K05
zbMATH DE Number: 6362760
zbMATH Keywords: resolvent
zbMATH Keywords: \(l^1\)-space
zbMATH Keywords: discrete renewal equation
zbMATH Keywords: asymptotic
zbMATH Keywords: kernel sequence
MaRDI profile type: Publication
cites work: The resolvent structure of a Volterra equation with nonsummable difference kernel
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description: scientific article; zbMATH DE number 6362760