Spectral properties of the second order difference equation with selfadjoint operator coefficients

DOI10.31801/cfsuasmas.562175zbMath1493.47045OpenAlexW2980378052MaRDI QIDQ5083613

G. Mutlu

Publication date: 20 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.562175

zbMATH Keywords

continuous spectrumdifference equationsoperator coefficientsJost solution

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear difference operators (47B39) Matrix and operator functional equations (39B42)

Cites Work

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• Jost solution and the spectral properties of the matrix-valued difference operators
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• An inverse problem for the matrix Schrödinger equation
• Asymptotic behavior to the eigenvalues of the Sturm-Liouville operator problem
• Sufficient conditions for a discrete spectrum in the case of a Sturm- Liouville equation with operator coefficients
• Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators
• Spectral analysis of a selfadjoint matrix-valued discrete operator on the whole axis
• Spectral properties of non-selfadjoint difference operators

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