{"title":"分数布朗运动驱动的广义BDSDEs","authors":"Sadibou Aidara, Assane Ndiaye, Ahmadou Bamba Sow","doi":"10.1515/msds-2022-0167","DOIUrl":null,"url":null,"abstract":"Abstract This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>H</m:mi> </m:math> H greater than 1/2. The existence and uniqueness of solutions to our equation as well as comparison theorems are obtained.","PeriodicalId":30985,"journal":{"name":"Nonautonomous Dynamical Systems","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized BDSDEs driven by fractional Brownian motion\",\"authors\":\"Sadibou Aidara, Assane Ndiaye, Ahmadou Bamba Sow\",\"doi\":\"10.1515/msds-2022-0167\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\"> <m:mi>H</m:mi> </m:math> H greater than 1/2. The existence and uniqueness of solutions to our equation as well as comparison theorems are obtained.\",\"PeriodicalId\":30985,\"journal\":{\"name\":\"Nonautonomous Dynamical Systems\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonautonomous Dynamical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/msds-2022-0167\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonautonomous Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/msds-2022-0167","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Generalized BDSDEs driven by fractional Brownian motion
Abstract This article deals with a class of generalized backward doubly stochastic differential equations driven by fractional Brownian motion with the Hurst parameter H H greater than 1/2. The existence and uniqueness of solutions to our equation as well as comparison theorems are obtained.