Spectral inclusion and spectral exactness for singular non-self-adjoint Hamiltonian systems

DOI10.1098/rspa.2002.1106zbMath1078.34064OpenAlexW2080247305MaRDI QIDQ4739650

B. Malcolm Brown, Marco Marlettta

Publication date: 6 August 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2002.1106

zbMATH Keywords

eigenvalue problemHamiltonian systemsTitchmarsh-Weyl functionsingular endpointspectral exactnessnonselfadjoint system

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)

Related Items (15)

Eigenvalue problems on exterior domains and Dirichlet to Neumann maps ⋮ Convergence of sequences of linear operators and their spectra ⋮ Regular approximations of spectra of singular second-order symmetric linear difference equations ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations ⋮ Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems ⋮ Resolvent convergence and spectral approximations of sequences of self-adjoint subspaces ⋮ Classification of non-self-adjoint singular Sturm-Liouville difference equations ⋮ A Legendre spectral element method for eigenvalues in hydrodynamic stability ⋮ On classification of second-order differential equations with complex coefficients ⋮ Limit-point criteria for semi-degenerate singular Hamiltonian differential systems with perturbation terms ⋮ On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ Friedrichs extensions of a class of singular Hamiltonian systems ⋮ Fast and accurate calculations of fourth-order non-self-adjoint Sturm-Liouville eigenvalues for problems in physics and engineering

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