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

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-08-08 DOI:10.1007/s10440-024-00677-8

Xintao Li, Lianbing She

{"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":"192 1","pages":""},"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\":\"192 1\",\"pages\":\"\"},\"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}

引用次数: 0

摘要

本文论述在加权空间中具有时变延迟和乘法噪声的非局部随机薛定谔晶格系统的极限行为。我们首先考虑了所考虑的随机系统的回调拉回随机吸引子的存在性和唯一性，然后建立了这些吸引子在时间延迟长度趋近于零时的上micontinuity。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

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.