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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01543-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","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.