Eigenvalue bounds for the singular Sturm Liouville problem with a complex potential

DOI10.1088/0305-4470/36/13/310zbMath1058.34113OpenAlexW2088116274MaRDI QIDQ4468040

Markus Wagenhofer, Matthias Langer, Christiane Tretter, Marco Marlettta, B. Malcolm Brown

Publication date: 10 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/36/13/310

zbMATH Keywords

complex potentialRouche's theoremsingular Sturm-Liouville problemPrüfer variablesSquire's problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions ⋮ Eigenvalue problems on exterior domains and Dirichlet to Neumann maps ⋮ Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method ⋮ An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm-Liouville problems ⋮ Fast and accurate calculations of fourth-order non-self-adjoint Sturm-Liouville eigenvalues for problems in physics and engineering

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