Eigenvalues below the lower bound of minimal operators of singular Hamiltonian expressions

DOI10.1016/J.CAMWA.2008.05.043zbMath1165.34425OpenAlexW2004127734MaRDI QIDQ2389467

Zhaowen Zheng, Shaozhu Chen, Jian Gang Qi

Publication date: 17 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.05.043

zbMATH Keywords

eigenvalueHamiltonian operatorself-adjointnessFriedrichs extensionlimit point case

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (8)

On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint ⋮ Lyapunov type inequalities for the Riemann-Liouville fractional differential equations of higher order ⋮ Limit point, strong limit point and Dirichlet conditions for Hamiltonian differential systems ⋮ A singular Sturm-Liouville problem with limit circle endpoints and eigenparameter dependent boundary conditions ⋮ Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra ⋮ Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices ⋮ Weyl-Titchmarsh theory for time scale symplectic systems on half line ⋮ LIMIT POINT, STRONG LIMIT POINT AND DIRICHLET CONDITIONS FOR DISCRETE HAMILTONIAN SYSTEMS

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• Strong limit-point classification of singular Hamiltonian expressions
• On Matrix-Valued Herglotz Functions
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM

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