On Recovering Dirac Operators with Two Delays

IF 0.7 4区数学 Q2 MATHEMATICS Complex Analysis and Operator Theory Pub Date : 2024-05-29 DOI:10.1007/s11785-024-01543-z

Biljana Vojvodić, Nebojša Djurić, Vladimir Vladičić

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.

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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。

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来源期刊

Complex Analysis and Operator Theory 数学-数学

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.

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