A research on spectral analysis of a matrix Quantum difference equations with spectral singularities

DOI10.2989/16073606.2017.1284911zbMath1461.39005OpenAlexW2598189356MaRDI QIDQ5236065

Yelda Aygar

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1284911

zbMATH Keywords

eigenvaluespectral singularity\(q\)-difference equationJost solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) General theory of difference equations (39A05)

Related Items (2)

Extensions of the matrix-valued q−Sturm–Liouville operators ⋮ Bound states and spectral singularities of an impulsive Schrödinger equation

Cites Work

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• A polynomial-type Jost solution and spectral properties of a self-adjoint quantum-difference operator
• An eigenvalue problem for quadratic pencils of \(q\)-difference equations and its applications
• Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter
• Spectral analysis of \(q\)-difference equations with spectral singularities
• INVESTIGATION OF SPECTRAL ANALYSIS OF MATRIX QUANTUM DIFFERENCE EQUATIONS WITH SPECTRAL SINGULARITIES
• Quantum calculus

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