Renewal equation on the whole line (Q1613592)

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scientific article; zbMATH DE number 1792501
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Renewal equation on the whole line
scientific article; zbMATH DE number 1792501

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    Renewal equation on the whole line (English)
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    29 August 2002
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    The paper discusses the renewal equation on the whole line and proves existence of its solution provided a non-zero absolutely continuous component of a probability distribution function going in the equation. Of course, the distribution must possess non-zero (possibly infinite) mean. The presented proof is based on the theory of Volterra integral equations.
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    renewal equation on the whole line
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    complete form of Karlin's theorem
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    Volterra integral equations
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