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Xu, Xiao-Chuan; Yang, Chuan-Fu; You, Huang-Zhen

Inverse spectral analysis for Regge problem with partial information on the potential. (English) Zbl 1380.34041

Result. Math. 71, No. 3-4, 983-996 (2017).
The Regge boundary value problem \[ -y''(x)+q(x)y(x)=k^2 y(x), y(0)=y'(1)+iky(1)=0 \] is studied, where \(q(x)\in C^2[0,1]\) is real, and \(q(1)>0\). The uniqueness theorem is proved for the inverse problem of recovering \(q(x)\) on a part of the interval from a part of the spectrum provided that \(q(x)\) is known on the rest of the interval.
Reviewer: Vjacheslav Yurko (Saratov)

Cited in 2 Documents

MSC:

34A55 Inverse problems involving ordinary differential equations
34B24 Sturm-Liouville theory
47E05 General theory of ordinary differential operators

Keywords:

Regge boundary value problem; inverse spectral problem
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Full Text: DOI

References:

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