Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients

DOI10.1002/mana.201200161zbMath1264.39018OpenAlexW2007464127MaRDI QIDQ4916110

David Otieno Ambogo, Fredrick Oluoch Nyamwala, J. O. Agure

Publication date: 19 April 2013

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

Full work available at URL: https://doi.org/10.1002/mana.201200161

zbMATH Keywords

eigenvaluesabsolutely continuous spectrumunbounded coefficientsdeficiency indicesfourth-order difference equation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Additive difference equations (39A10) Multiplicative and other generalized difference equations (39A20) Difference equations in the complex domain (39A45)

Related Items (8)

Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations ⋮ Spectral properties of singular discrete linear Hamiltonian systems ⋮ Application of comparison algebras in construction of commutative composites of symmetric higher order differential operators ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ Resolvent and spectrum for discrete symplectic systems in the limit point case ⋮ Invariance of deficiency indices of second-order symmetric linear difference equations under perturbations ⋮ On the density of the minimal subspaces generated by discrete linear Hamiltonian systems ⋮ Absolutely continuous spectrum of fourth order difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Defect indices and definiteness conditions for a class of discrete linear Hamiltonian systems
• On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
• Self-adjoint extensions for second-order symmetric linear difference equations
• Spectral theory of ordinary differential operators
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• A spectral analysis for self-adjoint operators generated by a class of second order difference equations
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• Discrete and continuous boundary problems
• Spectral theory of difference operators with almost constant coefficients
• Spectral theory of difference operators with almost constant coefficients II
• Spectral analysis of fourth order differential operators III
• Spectral analysis of higher order differential operators with unbounded coefficients
• Spectral analysis of higher order differential operators with unbounded coefficients II
• SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points
• Asymptotically constant linear systems
• The defect index of singular symmetric linear difference equations with real coefficients
• The absolutely continuous spectrum of discrete canonical systems
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
• Spectral Analysis of Higher-Order Differential Operators II: Fourth-Order Equations
• On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems I
• 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
• Spectral Analysis of Four Term Differential Operator
• The spectrum of differential operators of order \(2n\) with almost constant coefficients

This page was built for publication: Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients