Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-04-02 DOI:10.1186/s13661-024-01849-z

A. M. Mahmoud, D. A. Eisa, R. O. A. Taie, D. A. M. Bakhit

引用次数: 0

Abstract

In the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay of third order. The derived results extend and improve some earlier results in the relevant literature, which are related to the qualitative properties of solutions to third-order delay differential equations (DDEs) and SDEs with multi-delay. Two examples are given to illustrate the results.

查看原文本刊更多论文

多延迟三阶随机微分方程解的渐近行为和有界性

本文研究了三阶多延迟随机微分方程（SDE）的随机稳定性和随机有界性。推导结果扩展并改进了相关文献中的一些早期结果，这些结果与三阶延迟微分方程 (DDE) 和多延迟 SDE 解的定性有关。文中举了两个例子来说明这些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.