Sturmian and spectral theory for discrete symplectic systems

From MaRDI portal
Publication:3629389

DOI10.1090/S0002-9947-08-04692-8zbMath1167.39009MaRDI QIDQ3629389

Werner Kratz, Martin J. Bohner, Ondřej Došlý

Publication date: 27 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)




Related Items (40)

Focal points and recessive solutions of discrete symplectic systemsJump phenomena of the n-th eigenvalue of discrete Sturm–Liouville problems with application to the continuous caseDependence of eigenvalues of certain closely discrete Sturm-Liouville problemsOn some aspects of the Bohl transformation for Hamiltonian and symplectic systemsContinuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problemRayleigh principle for linear Hamiltonian systems without controllabilityComparative index and Sturmian theory for linear Hamiltonian systemsRelative oscillation theory for matrix Sturm-Liouville difference equations extendedOscillation and conjugacy criteria for two-dimensional symplectic difference systemsEigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameterDiscrete symplectic systems, boundary triplets, and self-adjoint extensionsNabla time scale symplectic systems and related quadratic functionalsOn a Weyl-Titchmarsh theory for discrete symplectic systems on a half lineWeyl disks and square summable solutions for discrete symplectic systems with jointly varying endpointsComparison Theorems for Weighted Focal Points of Conjoined Bases of Hamiltonian Difference SystemsSymplectic difference systems with periodic coefficients: Krein's traffic rules for multipliersGeneralized oscillation theorems for symplectic difference systems with nonlinear dependence on spectral parameterComparison theorems for symplectic systems of difference equationsOscillation theorems and Rayleigh principle for linear Hamiltonian and symplectic systems with general boundary conditionsSymmetric three-term recurrence equations and their symplectic structureOscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameterRecessive solutions for nonoscillatory discrete symplectic systemsSturmian theory for linear Hamiltonian systems without controllabilitySingular Sturmian separation theorems for nonoscillatory symplectic difference systemsSpectral theory of Sturm-Liouville difference operatorsOscillation and spectral theory for symplectic difference systems with separated boundary conditionsBanded matrices and discrete Sturm-Liouville eigenvalue problemsWeyl-Titchmarsh theory for Hamiltonian dynamic systemsSingular comparison theorems for discrete symplectic systemsGeneralized zeros of \(2\times 2\) symplectic difference system and of its reciprocal systemWeyl–Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameterTitchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scalesWeyl-Titchmarsh theory for symplectic difference systemsDiscrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameterEigenvalue Comparison for Discrete Symplectic SystemsTransformations and the number of focal points for conjoined bases of symplectic difference systemsEigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditionsA remark on focal points of recessive solutions of discrete symplectic systemsInvariance of deficiency indices under perturbation for discrete Hamiltonian systemsDiscrete oscillation theorems and weighted focal points for Hamiltonian difference systems with nonlinear dependence on a spectral parameter



Cites Work




This page was built for publication: Sturmian and spectral theory for discrete symplectic systems