On the Spectrum of Eigenparameter-Dependent Quantum Difference Equations

Authors

Yelda Aygar, Department of Mathematics, Faculty of Sciences, University of Ankara, 06100, Ankara, TurkeyFollow
Martin J. Bohner, Missouri S&T, Department of Mathematics and Statistics, 400 West 12th Street, Rolla, MO 65409-0020, USAFollow

Author Country (or Countries)

USA

Abstract

We consider a boundary value problem (BVP) consisting of a second-order quantum difference equation and boundary conditions depending on an eigenvalue parameter. Discussing the point spectrum and using the uniqueness theorem of analytic functions, we present a condition that guarantees that this BVP has a finite number of eigenvalues and spectral singularities with finite multiplicities.

Recommended Citation

Aygar, Yelda and J. Bohner, Martin (2015) "On the Spectrum of Eigenparameter-Dependent Quantum Difference Equations," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 9.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/9