Absolutely continuous spectrum of fourth order difference equations

DOI10.1002/mana.201400057zbMath1342.39009OpenAlexW2142573129MaRDI QIDQ5265361

Fredrick Oluoch Nyamwala

Publication date: 23 July 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400057

zbMATH Keywords

eigenvaluesabsolutely continuous spectrumdeficiency indicessingular continuous spectrumfourth-order Sturm-Liouville difference operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Perturbation theory of linear operators (47A55) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Cites Work

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• Asymptotically constant linear systems
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• The absolutely continuous spectrum of discrete canonical systems
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• ON SAMPLING AND SECOND ORDER DIFFERENCE EQUATIONS
• Spectral Analysis of Higher-Order Differential Operators II: Fourth-Order Equations
• Spectral Analysis of Higher Order Differential Operators I: General Properties of the M -Function
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients

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