Malaysian Journal of Mathematical Sciences, September 2017, Vol. 11, No. 3
The Effects of Hyperbolic Eigenparameter on Spectral Analysis of a Quantum Difference Equations
Aygar, Y.
Corresponding Email: yaygar@ankara.edu.tr
Received date: 26 December 2016
Accepted date: 20 September 2017
Abstract:
In this study, second-order nonselfadjoint expression and its associated boundary condition depending on a hyperbolic eigenparameter are discussed. We introduce the sets of eigenvalues and spectral singularities of a boundary value problem (BVP) which is defined with same quantum difference expression and boundary condition. Next, some spectral properties of eigenvalues and spectral singularities are investigated using the Jost solution, green function and resolvent operator of this BVP.
Keywords: Eigenvalue, spectral singularity, q-difference equation, green function, Jost solution, resolvent
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