Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter

DOI10.1186/S13662-015-0587-3zbMath1422.39019OpenAlexW1915922941WikidataQ59429888 ScholiaQ59429888MaRDI QIDQ1721881

Yelda Aygar

Publication date: 13 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0587-3

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (3)

An examination of boundary value transmission problem with quadratic spectral parameter ⋮ Scattering theory of impulsive Sturm-Liouville equation in quantum calculus ⋮ A research on spectral analysis of a matrix Quantum difference equations with spectral singularities

Cites Work

• Jost solution and the spectral properties of the matrix-valued difference operators
• Principal functions of non-selfadjoint matrix Sturm-Liouville equations
• Jost solution and the spectrum of the discrete Dirac systems
• Quadratic pencil of Schrödinger operators with spectral singularities: Discrete spectrum and principal functions
• Principal functions of nonselfadjoint discrete Dirac equations with spectral parameter in boundary conditions
• Spectral analysis of \(q\)-difference equations with spectral singularities
• Spectral properties of non-selfadjoint difference operators
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