一类泛函微分方程随机卷积正则性的注记

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2022-05-01 DOI:10.1080/07362994.2022.2068580

Kai Liu

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引用次数: 0

摘要

摘要本文是[5]的延续，讨论了具有无界算子的抽象线性随机时滞微分方程随机卷积的正则性。在这项工作中，我们通过考虑那些可能与所考虑的系统的无穷小发生器具有相同阶的延迟算子，改进和推广了[5]中的主要结果。为此，我们需要将系统中分布延迟项的权函数限制为Hölder连续型。

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A note on regularity property of stochastic convolutions for a class of functional differential equations

Abstract This is a continuation of [5] which is concerned about the regularity property of stochastic convolutions for abstract linear stochastic retarded differential equations with unbounded operators on delay terms. In this work, we improve and generalize the main results in [5] by considering those delay operators which may have the same order as the infinitesimal generator of the system under consideration. To this end, we need restrict the weight function of distributed delay term to be Hölder continuous type in this system.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.