{"title":"加权空间中具有时变延迟的非局部随机薛定谔晶格系统的极限行为","authors":"Xintao Li, Lianbing She","doi":"10.1007/s10440-024-00677-8","DOIUrl":null,"url":null,"abstract":"<div><p>This paper deals with the limiting behavior of nonlocal stochastic Schrödinger lattice systems with time-varying delays and multiplicative noise in weighted space. We first consider the existence and uniqueness of tempered pullback random attractors for considered stochastic system and then establish the upper-semicontinuity of these attractors when the length of time delay approaches zero.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10440-024-00677-8.pdf","citationCount":"0","resultStr":"{\"title\":\"Limiting Behavior of Nonlocal Stochastic Schrödinger Lattice Systems with Time-Varying Delays in Weighted Space\",\"authors\":\"Xintao Li, Lianbing She\",\"doi\":\"10.1007/s10440-024-00677-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper deals with the limiting behavior of nonlocal stochastic Schrödinger lattice systems with time-varying delays and multiplicative noise in weighted space. We first consider the existence and uniqueness of tempered pullback random attractors for considered stochastic system and then establish the upper-semicontinuity of these attractors when the length of time delay approaches zero.</p></div>\",\"PeriodicalId\":53132,\"journal\":{\"name\":\"Acta Applicandae Mathematicae\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s10440-024-00677-8.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Applicandae Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10440-024-00677-8\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Applicandae Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10440-024-00677-8","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Limiting Behavior of Nonlocal Stochastic Schrödinger Lattice Systems with Time-Varying Delays in Weighted Space
This paper deals with the limiting behavior of nonlocal stochastic Schrödinger lattice systems with time-varying delays and multiplicative noise in weighted space. We first consider the existence and uniqueness of tempered pullback random attractors for considered stochastic system and then establish the upper-semicontinuity of these attractors when the length of time delay approaches zero.
期刊介绍：
Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods.
Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
