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
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