{"title":"随机格微分方程分布中的周期解","authors":"Yue Gao, Xue Yang","doi":"10.58997/ejde.2024.25","DOIUrl":null,"url":null,"abstract":"In this article, we consider stochastic lattice differential equations (SLDEs) in weighted space $l^2_\\rho$ of infinite sequences. We establish the well-posedness of solutions and prove the existence of periodic solutions in distribution. An example is given to illustrate the validity of our results. \nFor more information see https://ejde.math.txstate.edu/Volumes/2024/25/abstr.html","PeriodicalId":0,"journal":{"name":"","volume":" 27","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Periodic solutions in distribution for stochastic lattice differential equations\",\"authors\":\"Yue Gao, Xue Yang\",\"doi\":\"10.58997/ejde.2024.25\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we consider stochastic lattice differential equations (SLDEs) in weighted space $l^2_\\\\rho$ of infinite sequences. We establish the well-posedness of solutions and prove the existence of periodic solutions in distribution. An example is given to illustrate the validity of our results. \\nFor more information see https://ejde.math.txstate.edu/Volumes/2024/25/abstr.html\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":\" 27\",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.58997/ejde.2024.25\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.58997/ejde.2024.25","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Periodic solutions in distribution for stochastic lattice differential equations
In this article, we consider stochastic lattice differential equations (SLDEs) in weighted space $l^2_\rho$ of infinite sequences. We establish the well-posedness of solutions and prove the existence of periodic solutions in distribution. An example is given to illustrate the validity of our results.
For more information see https://ejde.math.txstate.edu/Volumes/2024/25/abstr.html
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