Turkish Journal of Mathematics
DOI
10.3906/mat-1507-2
Abstract
The main aim of this paper is to construct quantum extension of the discrete Sturm--Liouville equation consisting of second-order difference equation and boundary conditions that depend on a quadratic eigenvalue parameter. We consider a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions that depend on the quadratic eigenvalue parameter. We present a condition that guarantees that this BVP has a finite number of eigenvalues and spectral singularities with finite multiplicities.
Keywords
$q$-difference equation, Jost solution, spectral analysis, eigenvalue, spectral singularity
First Page
445
Last Page
452
Recommended Citation
KÜÇÜKEVCİLİOĞLU, YELDA AYGAR
(2016)
"Quadraticeigenparameter-dependent quantum difference equations,"
Turkish Journal of Mathematics: Vol. 40:
No.
2, Article 19.
https://doi.org/10.3906/mat-1507-2
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss2/19
