On Recovering Dirac Operators with Two Delays

IF 0.7 4区 数学 Q2 MATHEMATICS
Biljana Vojvodić, Nebojša Djurić, Vladimir Vladičić
{"title":"On Recovering Dirac Operators with Two Delays","authors":"Biljana Vojvodić, Nebojša Djurić, Vladimir Vladičić","doi":"10.1007/s11785-024-01543-z","DOIUrl":null,"url":null,"abstract":"<p>We study the inverse spectral problems of recovering Dirac-type functional-differential operator with two constant delays <span>\\(a_1\\)</span> and <span>\\(a_2\\)</span> not less than one-third of the length the interval. It has been proved that the operator can be recovered uniquely from four spectra when <span>\\(2a_1+\\frac{a_2}{2}\\)</span> is not less than the length of the interval, while it is not possible otherwise.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"237 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01543-z","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

Abstract

We study the inverse spectral problems of recovering Dirac-type functional-differential operator with two constant delays \(a_1\) and \(a_2\) not less than one-third of the length the interval. It has been proved that the operator can be recovered uniquely from four spectra when \(2a_1+\frac{a_2}{2}\) is not less than the length of the interval, while it is not possible otherwise.

Abstract Image

关于恢复有两个延迟的狄拉克算子
我们研究了在两个常数延迟 \(a_1\) 和 \(a_2\) 不小于区间长度三分之一的情况下恢复狄拉克型函数微分算子的逆谱问题。研究证明,当\(2a_1+\frac{a_2}{2}\)不小于区间长度时,可以从四个谱中唯一地恢复算子,反之则不可能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
1.20
自引率
12.50%
发文量
107
审稿时长
3 months
期刊介绍: Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信