常时滞非自治三阶随机微分方程解的性质

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-01-01 DOI:10.55730/1300-0098.3351

A. Mahmoud, D. Bakhit

{"title":"常时滞非自治三阶随机微分方程解的性质","authors":"A. Mahmoud, D. Bakhit","doi":"10.55730/1300-0098.3351","DOIUrl":null,"url":null,"abstract":": In this work, complete Lyapunov functionals (LFs) are constructed and used for the established conditions on the nonlinear functions appearing in the main equation, to guarantee stochastically asymptotically stable (SAS), uniformly stochastically bounded (USB) and uniformly exponentially asymptotically stable (UEAS) in probability of solutions to the nonautonomous third-order stochastic differential equation (SDE) with a constant delay as ... x ( t ) + a ( t ) f ( x ( t ) , ˙ x ( t ))¨ x ( t ) + b ( t ) φ (","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the properties of solutions for nonautonomous third-order stochastic differential equation with a constant delay\",\"authors\":\"A. Mahmoud, D. Bakhit\",\"doi\":\"10.55730/1300-0098.3351\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": In this work, complete Lyapunov functionals (LFs) are constructed and used for the established conditions on the nonlinear functions appearing in the main equation, to guarantee stochastically asymptotically stable (SAS), uniformly stochastically bounded (USB) and uniformly exponentially asymptotically stable (UEAS) in probability of solutions to the nonautonomous third-order stochastic differential equation (SDE) with a constant delay as ... x ( t ) + a ( t ) f ( x ( t ) , ˙ x ( t ))¨ x ( t ) + b ( t ) φ (\",\"PeriodicalId\":51206,\"journal\":{\"name\":\"Turkish Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Turkish Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.55730/1300-0098.3351\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Turkish Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.55730/1300-0098.3351","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 1

摘要

本文构造了完全李雅普诺夫泛函（LFs），并将其用于主方程中出现的非线性函数的既定条件，以保证随机渐近稳定（SAS），常时滞非自治三阶随机微分方程解的概率为一致随机有界（USB）和一致指数渐近稳定（UEAS）。。。x（t）+a（t）f（x（t(

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the properties of solutions for nonautonomous third-order stochastic differential equation with a constant delay

: In this work, complete Lyapunov functionals (LFs) are constructed and used for the established conditions on the nonlinear functions appearing in the main equation, to guarantee stochastically asymptotically stable (SAS), uniformly stochastically bounded (USB) and uniformly exponentially asymptotically stable (UEAS) in probability of solutions to the nonautonomous third-order stochastic differential equation (SDE) with a constant delay as ... x ( t ) + a ( t ) f ( x ( t ) , ˙ x ( t ))¨ x ( t ) + b ( t ) φ (

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.