Spectrum of the quadratic eigenparameter dependent discrete Dirac equations

DOI10.1186/1687-1847-2014-148zbMath1343.34200OpenAlexW2155289349WikidataQ59322214 ScholiaQ59322214MaRDI QIDQ738436

Turhan Koprubasi

Publication date: 2 September 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-148

zbMATH Keywords

discrete spectrumspectral analysiseigenparameterspectral singularitiesdiscrete Dirac equations

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75)

Related Items (6)

The spectrum of discrete Dirac operator with a general boundary condition ⋮ A note on the spectrum of discrete Klein-Gordon s-wave equation with eigenparameter dependent boundary condition ⋮ The cubic eigenparameter dependent discrete Dirac equations with principal functions ⋮ A study of some discrete Dirac equations with principal functions ⋮ Principal functions of non-selfadjoint discrete Sturm-Liouville equations with quadratic spectral parameter in boundary conditions ⋮ Spectral analysis of discrete dirac equation with generalized eigenparameter in boundary condition

Cites Work

• Eigenparameter dependent discrete Dirac equations with spectral singularities
• Boundary-value uniqueness theorems for analytic functions
• Theory of nonlinear lattices
• Jost solutions and the spectrum of the system of difference equations.
• Difference equations of second order with spectral singularities
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Principal functions of nonselfadjoint discrete Dirac equations with spectral parameter in boundary conditions
• Spectral analysis of \(q\)-difference equations with spectral singularities
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators
• Spectral properties of non-selfadjoint difference operators
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