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On the Spectrum of Eigenparameter-Dependent Quantum Difference Equations |
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PP: 1725-1729 |
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Author(s) |
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Yelda Aygar,
Martin J. Bohner,
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Abstract |
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| 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. |
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