Inverse Nodal Problem for Integro-differential Operators on the Finite Interval

2013 ◽  
Vol 15 (1) ◽  
pp. 47
Author(s):  
Yu-ping WANG
Keyword(s):  
Differential Operators ◽  
Finite Interval ◽  
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.

scholarly journals Solution of a discontinuous inverse nodal problem on a finite interval

2006 ◽  
Vol 44 (1-2) ◽  
pp. 204-209 ◽  
Author(s):  
Hikmet Koyunbakan ◽  
Etibar S. Panakhov
Keyword(s):  
Finite Interval ◽  
Inverse Nodal Problem ◽  
Nodal Problem

scholarly journals The partial inverse nodal problem for differential pencils on a finite interval

2019 ◽  
Vol 50 (3) ◽  
pp. 307-319
Author(s):  
Y. P. Wang ◽  
Yiteng Hu ◽  
Chung-Tsun Shieh
Keyword(s):  
Finite Interval ◽  
Reconstruction Algorithm ◽  
Inverse Nodal Problem ◽  
Partial Inverse ◽  
Nodal Data ◽  
Nodal Problem ◽  
The Right ◽  
Differential Pencils

In this paper, the partial inverse nodal problem for differential pencils with real-valued coefficients on a finite interval \([0,1]\) was studied. The authors showed that the coefficients \((q_{0}(x),q_{1}(x),h,H_0)\) of the differential pencil \(L_0\) can be uniquely determined by partial nodal data on the right(or, left) arbitrary subinterval \([a,b]\) of \([0,1].\) Finally, an example was given to verify the validity of the reconstruction algorithm for this inverse 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 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
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