Eigenparameter dependent discrete Dirac equations with spectral singularities

DOI10.1016/j.amc.2009.12.043zbMath1191.39005OpenAlexW2165776920MaRDI QIDQ961616

Turhan Koprubasi, Elgiz Bairamov

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.043

zbMATH Keywords

resolventdiscrete spectrumspectral analysisdiscrete boundary value problemspectral singularitiesdiscrete Dirac equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) Discrete version of topics in analysis (39A12)

Related Items

The spectrum of discrete Dirac operator with a general boundary condition, A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions, The cubic eigenparameter dependent discrete Dirac equations with principal functions, Principal functions of nonselfadjoint discrete Dirac equations with spectral parameter in boundary conditions, A study of impulsive discrete Dirac system with hyperbolic eigenparameter, Examination of Eigenvalues and Spectral Singularities of a Discrete Dirac Operator with an Interaction Point, Scattering theory of quadratic eigenparameter depending impulsive Sturm-Liouville equations, An inverse scattering problem for eigenparameter-dependent discrete Dirac system with Levinson formula, Scattering properties of eigenparameter-dependent impulsive Sturm-Liouville equations, Spectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameter, Spectrum of the quadratic eigenparameter dependent discrete Dirac equations, Spectral analysis of discrete dirac equation with generalized eigenparameter in boundary condition

Cites Work

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• Spectral analysis of \(q\)-difference equations with spectral singularities
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
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• Spectral properties of non-selfadjoint difference operators
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