带算子系数的二阶差分方程的均值有界和静态解

IF 0.4 Q4 STATISTICS & PROBABILITY

Theory of Probability and Mathematical Statistics Pub Date : 2024-05-10 DOI:10.1090/tpms/1211

M. Horodnii

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引用次数: 0

摘要

我们研究了具有片断常数算子系数的二阶差分方程的唯一有界均值解的存在性问题，以及具有常数算子系数的相应差分方程的静止解的存在性问题。当相应的 "代数 "算子方程具有分离的根时，我们将考虑这种情况。

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Bounded in the mean and stationary solutions of second-order difference equations with operator coefficients

We study the question of the existence of a unique bounded in the mean solution for the second-order difference equation with piecewise constant operator coefficients and of the stationary solution of the corresponding difference equation with constant operator coefficients. The case is considered when the corresponding “algebraic” operator equations have separated roots.

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来源期刊

Theory of Probability and Mathematical Statistics STATISTICS & PROBABILITY-

CiteScore

1.30

自引率

0.00%

发文量