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The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel - MaRDI portal

The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel (Q465105)

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scientific article; zbMATH DE number 6362760
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The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel
scientific article; zbMATH DE number 6362760

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    The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel (English)
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    31 October 2014
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    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.
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    resolvent
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    \(l^1\)-space
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    discrete renewal equation
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    asymptotic
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    kernel sequence
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