Biljana Vojvodić, Nebojša Djurić, Vladimir Vladičić
{"title":"关于恢复有两个延迟的狄拉克算子","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":"{\"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}","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}
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.
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.