5 Inverse Sturm–Liouville problems with finite spectrum

2021 ◽  
pp. 95-108
Keyword(s):  
Finite Spectrum ◽  
Sturm Liouville

Matrix Representations of Sturm–Liouville Problems with Finite Spectrum

2009 ◽  
Vol 54 (1-2) ◽  
pp. 103-116 ◽  
Author(s):  
Qingkai Kong ◽  
Hans Volkmer ◽  
Anton Zettl
Keyword(s):  
Matrix Representations ◽  
Finite Spectrum ◽  
Sturm Liouville

scholarly journals Finite spectrum of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on time scales

Filomat ◽  
2019 ◽  
Vol 33 (6) ◽  
pp. 1747-1757
Author(s):  
Ji-Jun Ao ◽  
Juan Wang
Keyword(s):  
Spectral Analysis ◽  
Boundary Conditions ◽  
Time Scales ◽  
Liouville Equation ◽  
Time Scale ◽  
The Self ◽  
Finite Spectrum ◽  
Sturm Liouville

The spectral analysis of a class of Sturm-Liouville problems with eigenparameter-dependent boundary conditions on bounded time scales is investigated. By partitioning the bounded time scale such that the coefficients of Sturm-Liouville equation satisfy certain conditions on the adjacent subintervals, the finite eigenvalue results are obtained. The results show that the number of eigenvalues not only depend on the partition of the bounded time scale, but also depend on the eigenparameter-dependent boundary conditions. Both of the self-adjoint and non-self-adjoint cases are considered in this paper.

scholarly journals Sturm–Liouville Problems with Finite Spectrum

2001 ◽  
Vol 263 (2) ◽  
pp. 748-762 ◽  
Author(s):  
Q. Kong ◽  
H. Wu ◽  
A. Zettl
Keyword(s):  
Finite Spectrum ◽  
Sturm Liouville

Finite Spectrum Property and Predictors

2000 ◽  
Vol 24 (1) ◽  
pp. 125-134 ◽  
Author(s):  
A Olbrot
Keyword(s):  
Finite Spectrum

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

2006 ◽  
Vol 11 (1) ◽  
pp. 47-78 ◽  
Author(s):  
S. Pečiulytė ◽  
A. Štikonas
Keyword(s):  
Boundary Condition ◽  
Differential Operator ◽  
Boundary Conditions ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Liouville Problem ◽  
Complex Case ◽  
Qualitative Behavior ◽  
Point Boundary ◽  
Sturm Liouville

The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions. We prove general properties of the eigenfunctions and eigenvalues for such a problem in the complex case. In the second part, we investigate the case of real eigenvalues. It is analyzed how the spectrum of these problems depends on the boundary condition parameters. Qualitative behavior of all eigenvalues subject to the nonlocal boundary condition parameters is described.

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