scholarly journals Remarks on a New Inverse Nodal Problem

2000 ◽  
Vol 248 (1) ◽  
pp. 145-155 ◽  
Author(s):  
Yan-Hsiou Cheng ◽  
C.K. Law ◽  
Jhishen Tsay
Keyword(s):  
Inverse Nodal Problem ◽  
Nodal Problem

scholarly journals A New Inverse Nodal Problem

2001 ◽  
Vol 169 (2) ◽  
pp. 633-653 ◽  
Author(s):  
Xue-Feng Yang
Keyword(s):  
Inverse Nodal Problem ◽  
Nodal Problem

scholarly journals Inverse nodal problem for nonlocal differential operators

2019 ◽  
Vol 50 (3) ◽  
pp. 337-347
Author(s):  
Xin-Jian Xu ◽  
Chuan-Fu Yang
Keyword(s):  
Boundary Condition ◽  
Scattering Theory ◽  
Differential Operators ◽  
Diffusion Processes ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Inverse Nodal Problem ◽  
Nodal Data ◽  
Nodal Problem ◽  
The Given

Inverse nodal problem consists in constructing operators from the given zeros of  their eigenfunctions. The problem of differential operators with nonlocal boundary condition appears, e.g., in scattering theory, diffusion processes and the other applicable fields. In this paper, we consider a class of differential operators with nonlocal boundary condition, and show that the potential function can be determined by nodal data.

Inverse transmission eigenvalue problems with the twin-dense nodal subset

2017 ◽  
Vol 25 (2) ◽  
Author(s):  
Yu Ping Wang ◽  
Chung Tsun Shieh ◽  
Hong Yi Miao
Keyword(s):  
Liouville Operator ◽  
Eigenvalue Problems ◽  
Inverse Nodal Problem ◽  
Transmission Eigenvalue ◽  
Sturm Liouville ◽  
Nodal Problem

Abstract The inverse nodal problem for the Sturm-Liouville operator

On the well-posedness of the inverse nodal problem

2001 ◽  
Vol 17 (5) ◽  
pp. 1493-1512 ◽  
Author(s):  
C K Law ◽  
Jhishen Tsay
Keyword(s):  
Well Posedness ◽  
Inverse Nodal Problem ◽  
Nodal Problem

The inverse nodal problem on the smoothness of the potential function

1999 ◽  
Vol 15 (1) ◽  
pp. 253-263 ◽  
Author(s):  
C K Law ◽  
Chao-Liang Shen ◽  
Ching-Fu Yang
Keyword(s):  
Potential Function ◽  
Inverse Nodal Problem ◽  
Nodal Problem

scholarly journals Inverse nodal problem for differential pencils

2009 ◽  
Vol 22 (8) ◽  
pp. 1240-1247 ◽  
Author(s):  
S.A. Buterin ◽  
Chung Tsun Shieh
Keyword(s):  
Inverse Nodal Problem ◽  
Nodal Problem ◽  
Differential Pencils
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