SPECTRAL MATRIX FOR STURM–LIOUVILLE OPERATORS ON TWO-SIDED UNBOUNDED TIME SCALES

2103 ◽  
Vol 70 (1) ◽  
pp. 33-51
Author(s):  
Adil Huseynov
Keyword(s):  
Time Scales ◽  
Spectral Matrix ◽  
Sturm Liouville ◽  
Liouville Operators

scholarly journals Spectral analysis of singular Sturm-Liouville operators on time scales

2018 ◽  
Vol 72 (1) ◽  
pp. 1 ◽  
Author(s):  
Bilender P. Allahverdiev ◽  
Huseyin Tuna
Keyword(s):  
Spectral Analysis ◽  
Continuous Spectrum ◽  
Discrete Spectrum ◽  
Time Scales ◽  
Liouville Operator ◽  
Adjoint Operator ◽  
The Self ◽  
Sturm Liouville ◽  
Liouville Operators

In this paper, we consider properties of the spectrum of a Sturm-Liouville<br />operator on time scales. We will prove that the regular symmetric<br />Sturm-Liouville operator is semi-bounded from below. We will also give some<br />conditions for the self-adjoint operator associated with the singular<br />Sturm-Liouville expression to have a discrete spectrum. Finally, we will<br />investigate the continuous spectrum of this operator.

scholarly journals Some properties of the resolvent of Sturm-Liouville operators on unbounded time scales

Mathematica ◽  
2019 ◽  
Vol 61 (84) (1) ◽  
pp. 3-21 ◽  
Author(s):  
Bilender P. Allahverdiev ◽  
◽  
Hüseyin Tuna ◽  
Keyword(s):  
Time Scales ◽  
Sturm Liouville ◽  
Liouville Operators

scholarly journals Sturm–Liouville operators on time scales

2012 ◽  
Vol 18 (11) ◽  
pp. 1875-1887 ◽  
Author(s):  
Jonathan Eckhardt ◽  
Gerald Teschl
Keyword(s):  
Time Scales ◽  
Sturm Liouville ◽  
Liouville Operators

scholarly journals Partial inverse problems for quadratic differential pencils on a graph with a loop

2020 ◽  
Vol 28 (3) ◽  
pp. 449-463 ◽  
Author(s):  
Natalia P. Bondarenko ◽  
Chung-Tsun Shieh
Keyword(s):  
Inverse Problems ◽  
A Priori ◽  
Spectral Characteristics ◽  
The Other ◽  
Boundary Edge ◽  
Partial Inverse ◽  
Quadratic Pencil ◽  
Sturm Liouville ◽  
Differential Pencils ◽  
Liouville Operators

AbstractIn this paper, partial inverse problems for the quadratic pencil of Sturm–Liouville operators on a graph with a loop are studied. These problems consist in recovering the pencil coefficients on one edge of the graph (a boundary edge or the loop) from spectral characteristics, while the coefficients on the other edges are known a priori. We obtain uniqueness theorems and constructive solutions for partial inverse problems.

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