{"title":"线性Skorokhod SDE:函数期望值的评估","authors":"A. Egorov, A. Zherelo","doi":"10.33581/1561-4085-2022-25-1-82-91","DOIUrl":null,"url":null,"abstract":"This paper considers a linear stochastic differential equation (SDE) containing the Skorokhod integral. A formula for the approximate calculation of functionals of solutions of this equation is constructed, which is approximately exact for polynomials of the third order.","PeriodicalId":43601,"journal":{"name":"Nonlinear Phenomena in Complex Systems","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Linear Skorokhod SDE: Evaluation of Expectations of Functionals\",\"authors\":\"A. Egorov, A. Zherelo\",\"doi\":\"10.33581/1561-4085-2022-25-1-82-91\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers a linear stochastic differential equation (SDE) containing the Skorokhod integral. A formula for the approximate calculation of functionals of solutions of this equation is constructed, which is approximately exact for polynomials of the third order.\",\"PeriodicalId\":43601,\"journal\":{\"name\":\"Nonlinear Phenomena in Complex Systems\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Phenomena in Complex Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33581/1561-4085-2022-25-1-82-91\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Phenomena in Complex Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33581/1561-4085-2022-25-1-82-91","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Linear Skorokhod SDE: Evaluation of Expectations of Functionals
This paper considers a linear stochastic differential equation (SDE) containing the Skorokhod integral. A formula for the approximate calculation of functionals of solutions of this equation is constructed, which is approximately exact for polynomials of the third order.