Weyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter

DOI10.1080/10236198.2013.813496zbMath1312.39011OpenAlexW2149226000MaRDI QIDQ5746469

Petr Zemánek, Roman Šimon Hilscher

Publication date: 18 February 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.813496

zbMATH Keywords

symplectic systemlimit circle caselimit point caseWeyl discsquare summable solutionWeyl Titchmarsh theory

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Discrete version of topics in analysis (39A12) Linear boundary value problems for ordinary differential equations (34B05) Linear difference equations (39A06)

Related Items (19)

Characterization of self-adjoint extensions for discrete symplectic systems ⋮ Limit point and limit circle classification for symplectic systems on time scales ⋮ Stability of deficiency indices for discrete Hamiltonian systems under bounded perturbations ⋮ Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Weyl disks and square summable solutions for discrete symplectic systems with jointly varying endpoints ⋮ Non–limit‐circle and limit‐point criteria for symplectic and linear Hamiltonian systems ⋮ On discrete symplectic systems: associated maximal and minimal linear relations and nonhomogeneous problems ⋮ On the maximal subspaces of discrete Hamiltonian systems ⋮ Generalized oscillation theorems for symplectic difference systems with nonlinear dependence on spectral parameter ⋮ Singular Hamiltonian system with several spectral parameters ⋮ Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions ⋮ Half line Titchmarsh-Weyl \(m\) functions of vector-valued discrete Schrödinger operators ⋮ On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems ⋮ 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 ⋮ Resolvent and spectrum for discrete symplectic systems in the limit point case ⋮ Time scale symplectic systems with analytic dependence on spectral parameter ⋮ Limit circle invariance for two differential systems on time scales

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