{"title":"加性分数布朗页驱动的随机微分方程的稳定性结果","authors":"Oussama El Barrimi","doi":"10.1515/rose-2023-2013","DOIUrl":null,"url":null,"abstract":"Abstract The aim of the present paper is to establish some strong stability results for solutions of stochastic differential equations driven by a fractional Brownian sheet with Hurst parameters H , H ′ ∈ ( 0 , 1 ) {H,H^{\\prime}\\in(0,1)} for which pathwise uniqueness holds.","PeriodicalId":43421,"journal":{"name":"Random Operators and Stochastic Equations","volume":"0 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability results for stochastic differential equations driven by an additive fractional Brownian sheet\",\"authors\":\"Oussama El Barrimi\",\"doi\":\"10.1515/rose-2023-2013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The aim of the present paper is to establish some strong stability results for solutions of stochastic differential equations driven by a fractional Brownian sheet with Hurst parameters H , H ′ ∈ ( 0 , 1 ) {H,H^{\\\\prime}\\\\in(0,1)} for which pathwise uniqueness holds.\",\"PeriodicalId\":43421,\"journal\":{\"name\":\"Random Operators and Stochastic Equations\",\"volume\":\"0 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Random Operators and Stochastic Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/rose-2023-2013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Operators and Stochastic Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/rose-2023-2013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
Stability results for stochastic differential equations driven by an additive fractional Brownian sheet
Abstract The aim of the present paper is to establish some strong stability results for solutions of stochastic differential equations driven by a fractional Brownian sheet with Hurst parameters H , H ′ ∈ ( 0 , 1 ) {H,H^{\prime}\in(0,1)} for which pathwise uniqueness holds.
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