Principal functions of non-selfadjoint difference operator with spectral parameter in boundary conditions

DOI10.1155/2011/608329zbMath1220.39009OpenAlexW2103317121WikidataQ58654346 ScholiaQ58654346MaRDI QIDQ554916

Murat Olgun, Turhan Koprubasi, Yelda Aygar

Publication date: 22 July 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/608329

zbMATH Keywords

eigenvaluesboundary value problemspectral singularities

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Discrete version of topics in analysis (39A12) Linear difference equations (39A06) Difference equations in the complex domain (39A45)

Related Items (5)

Quadratic eigenparameter dependent discrete Sturm-Liouville equations with spectral singularities ⋮ Spectrum and symmetries of the impulsive difference equations ⋮ Principal functions of impulsive difference operators on semi axis ⋮ Principal Vectors of Matrix-Valued Difference Operators ⋮ Quadraticeigenparameter-dependent quantum difference equations

Cites Work

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• The spectrum of eigenparameter-dependent discrete Sturm-Liouville equations
• Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition
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• Spectral properties of the Klein-Gordon \(s\)-wave equation with complex potential
• Quadratic pencil of Schrödinger operators with spectral singularities: Discrete spectrum and principal functions
• Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
• Discrete spectrum and principal functions of non-selfadjoint differential operator
• Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators

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