Spectral theory of Hamiltonian systems with almost constant coefficients

DOI10.1016/J.JDE.2010.10.014zbMath1237.34141OpenAlexW2069329317MaRDI QIDQ618274

Don B. Hinton, Horst Behncke

Publication date: 14 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.10.014

zbMATH Keywords

asymptotic solutionsspectrumHamiltonian systemsTitchmarsh-Weyl functions

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (13)

Spectral theory of higher order differential operators by examples ⋮ Spectral properties of singular discrete linear Hamiltonian systems ⋮ \(\mathcal C\)-symmetric Hamiltonian systems with almost constant coefficients ⋮ ᵉe-symmetric second order differential operators with large leading coefficient ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ On essential spectra of singular linear Hamiltonian systems ⋮ Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems ⋮ Simplicity and spectrum of singular Hamiltonian systems of arbitrary order ⋮ Essential spectrum of singular discrete linear Hamiltonian systems ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ ᵉe-symmetric second order differential operators ⋮ Unnamed Item ⋮ Non-negative extensions of Hamiltonian systems

Cites Work

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• 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
• The spectrum of differential operators of order \(2n\) with almost constant coefficients

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