{"title":"周期系数随机微分方程的大偏差平均原理。2","authors":"A. Veretennikov","doi":"10.1070/IM1992V039N01ABEH002222","DOIUrl":null,"url":null,"abstract":"The logarithmic asymptotic behavior is established for large deviations of the \"slow\" motion in the averaging principle for stochastic equations in a finite-dimensional Euclidean space.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"104 5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"ON LARGE DEVIATIONS IN THE AVERAGING PRINCIPLE FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS. II\",\"authors\":\"A. Veretennikov\",\"doi\":\"10.1070/IM1992V039N01ABEH002222\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The logarithmic asymptotic behavior is established for large deviations of the \\\"slow\\\" motion in the averaging principle for stochastic equations in a finite-dimensional Euclidean space.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"104 5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V039N01ABEH002222\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V039N01ABEH002222","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON LARGE DEVIATIONS IN THE AVERAGING PRINCIPLE FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS. II
The logarithmic asymptotic behavior is established for large deviations of the "slow" motion in the averaging principle for stochastic equations in a finite-dimensional Euclidean space.