scholarly journals The Inverse Spectral Problem for Differential Operators with Nonseparated Boundary Conditions

2000 ◽  
Vol 250 (1) ◽  
pp. 266-289 ◽  
Author(s):  
V.A. Yurko
Keyword(s):  
Boundary Conditions ◽  
Spectral Problem ◽  
Differential Operators ◽  
Inverse Spectral Problem ◽  
Nonseparated Boundary Conditions ◽  
Inverse Spectral

Inverse spectral problems of transmission eigenvalue problem for anisotropic media with spherical symmetry assumptions

2017 ◽  
Vol 25 (2) ◽  
Author(s):  
Xiao-Chuan Xu ◽  
Chuan-Fu Yang ◽  
Sergey A. Buterin
Keyword(s):  
Eigenvalue Problem ◽  
Boundary Conditions ◽  
Spectral Problem ◽  
Anisotropic Medium ◽  
Spherical Symmetry ◽  
Inverse Spectral Problem ◽  
Inverse Spectral Problems ◽  
Transmission Eigenvalue ◽  
Transmission Eigenvalue Problem ◽  
Inverse Spectral

Abstract We investigate the inverse spectral problem of the interior transmission eigenvalue problem for an anisotropic medium supported in with the boundary conditions

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 non-selfadjoint Sturm-Liouville operators with nonseparated boundary conditions

2012 ◽  
Vol 43 (2) ◽  
pp. 289-299 ◽  
Author(s):  
Vjacheslav Yurko
Keyword(s):  
Inverse Problem ◽  
Boundary Conditions ◽  
Spectral Problem ◽  
Uniqueness Theorem ◽  
Inverse Spectral Problem ◽  
Finite Interval ◽  
Spectral Characteristics ◽  
Nonseparated Boundary Conditions ◽  
Sturm Liouville ◽  
Liouville Operators

Non-selfadjoint Sturm-Liouville operators on a finite interval with nonseparated boundary conditions are studied. We establish properties of the spectral characteristics and investigate an inverse problem of recovering the operators from their spectral data. For this inverse problem we prove a uniqueness theorem and provide a procedure for constructing the solution.

scholarly journals Inverse spectral problems for differential operators on a graph with a rooted cycle

2009 ◽  
Vol 40 (3) ◽  
pp. 271-286 ◽  
Author(s):  
V. Yurko
Keyword(s):  
Spectral Problem ◽  
Uniqueness Theorem ◽  
Differential Operators ◽  
Inverse Spectral Problem ◽  
Inverse Spectral Problems ◽  
Matching Conditions ◽  
Spectral Problems ◽  
Sturm Liouville ◽  
Inverse Spectral

An inverse spectral problem is studied for Sturm-Liouville differential operators on graphs with a cycle and with standard matching conditions in internal vertices. A uniqueness theorem is proved, and a constructive procedure for the solution is provided.

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