The Discrete Wiener-Hopf Equation with Probability Kernel of Oscillating Type

被引：0
|
作者：
M. S. Sgibnev
机构：
[1] Sobolev Institute of Mathematics,
来源：
Siberian Mathematical Journal | 2019年 / 60卷
关键词：
discrete Wiener-Hopf equation; inhomogeneous equation; asymptotic behavior; arithmetic distribution; oscillating type;
D O I：
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中图分类号：
学科分类号：
摘要：
We prove the existence of a solution to the discrete inhomogeneous Wiener-Hopf equation whose kernel is an arithmetic probability distribution generating an oscillating random walk. Asymptotic properties of the solution are established depending on the properties of the inhomogeneous term of the equation and its kernel.
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页码：516 / 525
页数：9
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