Weyl-Titchmarsh theory for symplectic difference systems

DOI10.1016/j.amc.2010.03.136zbMath1197.39001OpenAlexW2145090191MaRDI QIDQ984309

Shurong Sun, Martin J. Bohner

Publication date: 19 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.136

zbMATH Keywords

spectral theoryWeyl-Titchmarsh theorysymplectic difference systemsWeyl circle

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) General theory of difference equations (39A05)

Related Items (12)

Characterization of self-adjoint extensions for discrete symplectic systems ⋮ Limit point and limit circle classification for symplectic systems on time scales ⋮ Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter ⋮ On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line ⋮ Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints ⋮ On discrete symplectic systems: associated maximal and minimal linear relations and nonhomogeneous problems ⋮ Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ Classification and criteria of limit cases for singular second-order linear equations with complex coefficients on time scales ⋮ Time scale symplectic systems with analytic dependence on spectral parameter

Cites Work

• On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems
• Hilbert space, boundary value problems and orthogonal polynomials
• Weyl-Titchmarsh theory for Hamiltonian dynamic systems
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• Disconjugacy and transformations for symplectic systems
• An oscillation theorem for discrete eigenvalue problems
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• Discrete and continuous boundary problems
• Sturmian and spectral theory for discrete symplectic systems
• Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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