关于恢复有两个延迟的狄拉克算子

Pub Date : 2024-05-29 DOI:10.1007/s11785-024-01543-z

Biljana Vojvodić, Nebojša Djurić, Vladimir Vladičić

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引用次数: 0

摘要

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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On Recovering Dirac Operators with Two Delays

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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