scholarly journals An inverse nodal problem for differential pencils with complex spectral parameter dependent boundary conditions

2017 ◽  
Vol 1 (5) ◽  
pp. 137-144 ◽  
Author(s):  
Tuba Gulsen ◽  
Emrah Yilmaz ◽  
Hikmet Koyunbakan
2011 ◽  
Vol 42 (3) ◽  
pp. 355-364 ◽  
Author(s):  
Sergey Buterin

A second-order differential pencil on a finite interval with spectral parameter dependent boundary conditions is considered. The inverse problem is studied of recovering the coefficients of the boundary value problem from its spectrum, provided that on one half of the interval they are known a priori. The uniqueness theorem for this inverse problem is proved and a constructive procedure for finding its solution is obtained.


2009 ◽  
Vol 22 (8) ◽  
pp. 1240-1247 ◽  
Author(s):  
S.A. Buterin ◽  
Chung Tsun Shieh

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