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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We present a condition that guarantees that this BVP has a finite number of eigenvalues and spectral singularities with finite multiplicities.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:We present a condition that guarantees that this BVP has a finite number of eigenvalues and spectral singularities with finite multiplicities.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$q$-difference equation · Jost solution · spectral analysis
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.
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Cite This Article
KÜÇÜKEVCİLİOĞLU, Y. A. (2016). Quadraticeigenparameter-dependent quantum difference equations. Turkish Journal of Mathematics, Cilt: 40 - Sayı: 2, 445–452. https://ajindex.com/articles/723285