Jost solution and the spectral properties of the matrix-valued difference operators

DOI10.1016/J.AMC.2012.02.081zbMath1246.39003OpenAlexW1967303735MaRDI QIDQ440941

Elgiz Bairamov, Yelda Aygar

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.081

zbMATH Keywords

continuous spectrumeigenvaluesdifference equationsspectral analysisjost function

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (13)

A polynomial-type Jost solution and spectral properties of a self-adjoint quantum-difference operator ⋮ Investigation of spectrum and scattering function of impulsive matrix difference operators ⋮ Spectral properties of the second order difference equation with selfadjoint operator coefficients ⋮ Examination of Eigenvalues and Spectral Singularities of a Discrete Dirac Operator with an Interaction Point ⋮ Scattering problems of impulsive Schrödinger equations with matrix coefficients ⋮ Extensions of the matrix-valued q−Sturm–Liouville operators ⋮ Principal Vectors of Matrix-Valued Difference Operators ⋮ Unnamed Item ⋮ Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter ⋮ Spectral data of conformable Sturm-Liouville direct problems ⋮ Quadraticeigenparameter-dependent quantum difference equations ⋮ PROPERTIES OF EIGENVALUES AND SPECTRAL SINGULARITIES FOR IMPULSIVE QUADRATIC PENCIL OF DIFFERENCE OPERATORS ⋮ The eigenvalue problem with interaction conditions at one interior singular point

Cites Work

• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Spectrum and spectral singularities of a quadratic pencil of a Schrödinger operator with a general boundary condition
• An eigenfunction expansion for a quadratic pencil of a Schrödinger operator with spectral singularities
• Jost solutions and the spectrum of the system of difference equations.
• Spectral singularities of Klein-Gordon \(s\)-wave equations with an integral boundary condition
• Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators
• Spectral properties of non-selfadjoint difference operators
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