Strong limit point criteria for a class of singular discrete linear Hamiltonian systems

DOI10.1016/J.JMAA.2007.02.058zbMath1132.39014OpenAlexW2082344836MaRDI QIDQ2644013

Huaqing Sun, Yuming Shi

Publication date: 27 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.02.058

zbMATH Keywords

defect indexdiscrete linear Hamiltonian systemstrong limit point caseweak limit point case

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (19)

Limit point and limit circle classification for symplectic systems on time scales ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Spectral properties of singular discrete linear Hamiltonian systems ⋮ Non–limit‐circle and limit‐point criteria for symplectic and linear Hamiltonian systems ⋮ Functional model and spectral analysis of discrete singular Hamiltonian system ⋮ Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter ⋮ A discrete analogue of Lyapunov-type inequalities for nonlinear difference systems ⋮ Defect indices of singular symmetric linear difference equations with complex coefficients ⋮ Error estimate of eigenvalues of discrete linear Hamiltonian systems with small perturbation ⋮ The defect index of singular symmetric linear difference equations with real coefficients ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ Classification of non-self-adjoint singular Sturm-Liouville difference equations ⋮ Homoclinic orbits of a class of second-order difference equations ⋮ Classification and criteria of limit cases for singular second-order linear equations with complex coefficients on time scales ⋮ Lyapunov inequalities and stability for discrete linear Hamiltonian systems ⋮ Stability for planar linear discrete Hamiltonian systems with perturbations ⋮ Time scale symplectic systems with analytic dependence on spectral parameter ⋮ LIMIT POINT, STRONG LIMIT POINT AND DIRICHLET CONDITIONS FOR DISCRETE HAMILTONIAN SYSTEMS ⋮ Extensions and spectral problems of 1D discrete Hamiltonian systems

Cites Work

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• On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
• Lower bound for the spectrum and the presence of pure point spectrum of a singular discrete Hamiltonian system
• The deficiency index problem for powers of ordinary differential expressions
• Spectral analysis of second order difference equations
• On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system.
• Spectral theory of discrete linear Hamiltonian systems.
• The limit circle and limit point criteria for second-order linear difference equations
• A spectral analysis for self-adjoint operators generated by a class of second order difference equations
• Limit-point and limit-circle criteria for singular second-order linear difference equations with complex coefficients
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• Some remarks on a separation and limit-point criterion of second-order, ordinary differential expressions
• Discrete and continuous boundary problems
• LIMIT-CIRCLE CRITERIA FOR SECOND-ORDER DIFFERENTIAL EXPRESSIONS
• On the Strong and Weak Limit-Point Classification of Second-Order Differential Expressions†
• On the Strong Limit-n Classification of Linear Ordinary Differential Expressions of Order 2n
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• A limit-point criterion for linear hamiltonian systems
• Strong limit-point classification of singular Hamiltonian expressions

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