具有两个常延迟的Dirac算子的逆问题

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Inverse and Ill-Posed Problems Pub Date : 2023-08-25 DOI:10.1515/jiip-2023-0047

B. Vojvodić, V. Vladičić, Nebojša Djurić

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引用次数: 0

摘要

摘要我们研究了在Dirichlet边界条件下，具有两个大于区间长度五分之二的常延迟的Dirac型泛函微分算子的逆谱问题。研究了从四个谱中恢复算子的逆问题。我们考虑延迟大于或小于间隔长度的一半的情况。本文的主要结果是证明了在这两种情况下，算子都可以从四个谱中唯一地恢复。

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Inverse problem for Dirac operators with two constant delays

Abstract We study inverse spectral problems for Dirac-type functional-differential operators with two constant delays greater than two fifths the length of the interval, under Dirichlet boundary conditions. The inverse problem of recovering operators from four spectra has been studied. We consider cases when delays are greater or less than half the length of the interval. The main result of the paper refers to the proof that in both cases operators can be recovered uniquely from four spectra.

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来源期刊

Journal of Inverse and Ill-Posed Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： This journal aims to present original articles on the theory, numerics and applications of inverse and ill-posed problems. These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc. Articles on the construction and justification of new numerical algorithms of inverse problem solutions are also published. Issues of the Journal of Inverse and Ill-Posed Problems contain high quality papers which have an innovative approach and topical interest. The following topics are covered: Inverse problems existence and uniqueness theorems stability estimates optimization and identification problems numerical methods Ill-posed problems regularization theory operator equations integral geometry Applications inverse problems in geophysics, electrodynamics and acoustics inverse problems in ecology inverse and ill-posed problems in medicine mathematical problems of tomography