scholarly journals Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex

2020 ◽  
Vol 0 (0) ◽  
pp. 1-14
Author(s):  
Lu Yang ◽  
◽  
Guangsheng Wei ◽  
Vyacheslav Pivovarchik ◽  
Keyword(s):  
Star Graph ◽  
Inverse Spectral Problems ◽  
Pendant Vertex ◽  
Spectral Problems ◽  
Inverse Spectral

scholarly journals Inverse spectral problems for Hill-type operators with frozen argument

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Sergey Buterin ◽  
Yi-Teng Hu
Keyword(s):  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Inverse Spectral

scholarly journals Determination of differential pencils with impulse from interior spectral data

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yongxia Guo ◽  
Guangsheng Wei ◽  
Ruoxia Yao
Keyword(s):  
Spectral Data ◽  
Interior Point ◽  
Potential Functions ◽  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Inverse Spectral ◽  
Differential Pencils ◽  
Second Spectrum

Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on $[0,\pi ]$ [ 0 , π ] with an interior discontinuity. We prove that two potential functions are determined uniquely by one spectrum and a set of values of eigenfunctions at some interior point $b\in (0,\pi )$ b ∈ ( 0 , π ) in the situation of $b=\pi /2$ b = π / 2 and $b\neq \pi /2$ b ≠ π / 2 . For the latter, we need the knowledge of a part of the second spectrum.

Inverse spectral problems for weighted Dirac systems

1999 ◽  
Vol 15 (3) ◽  
pp. 793-805 ◽  
Author(s):  
B A Watson
Keyword(s):  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Dirac Systems ◽  
Inverse Spectral

Inverse spectral problems for discontinuous Sturm–Liouville problems of Atkinson type

2018 ◽  
Vol 327 ◽  
pp. 22-34 ◽  
Author(s):  
Jinming Cai ◽  
Zhaowen Zheng
Keyword(s):  
Inverse Spectral Problems ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral
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