An inverse spectral problem for Sturm–Liouville operators with a large constant delay

2017 ◽  
Vol 9 (1) ◽  
pp. 17-27 ◽  
Author(s):  
S. A. Buterin ◽  
V. A. Yurko
Keyword(s):  
Spectral Problem ◽  
Inverse Spectral Problem ◽  
Constant Delay ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Liouville Operators

scholarly journals Inverse spectral boundary problem Sturm Liouville type with constant delay and non-zero initial function

2021 ◽  
Vol 51 ◽  
pp. 18-30
Author(s):  
Milenko Pikula ◽  
Dragana Nedić ◽  
Ismet Kalco ◽  
Ljiljanka Kvesić
Keyword(s):  
Boundary Conditions ◽  
Spectral Problem ◽  
Boundary Problem ◽  
Initial Function ◽  
Inverse Spectral Problem ◽  
Constant Delay ◽  
Liouville Type ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
The Right

This paper is dedicated to solving of the direct and inverse spectral problem for Sturm Liouville type of operator with constant delay from 𝜋/2 to 𝜋, non-zero initial function and Robin’s boundary conditions. It has been proved that two series of eigenvalues unambiguously define the following parameters: delay, coefficients of delay within boundary conditions, the potential on the segment from the point of delay to the right-hand side of the distance and the product of the starting function and potential from the left end of the distance to the delay point.

scholarly journals An inverse spectral problem for Sturm-Liouville operators with singular potentials on arbitrary compact graphs

2019 ◽  
Vol 50 (3) ◽  
pp. 293-305
Author(s):  
S. V. Vasiliev
Keyword(s):  
Inverse Problems ◽  
Spectral Problem ◽  
Differential Operators ◽  
Inverse Spectral Problem ◽  
Singular Potentials ◽  
Sturm Liouville ◽  
Inverse Spectral ◽  
Weyl Functions ◽  
Liouville Operators

Sturm-Liouville differential operators with singular potentials on arbitrary com- pact graphs are studied. The uniqueness of recovering operators from Weyl functions is proved and a constructive procedure for the solution of this class of inverse problems is provided.

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