Generalised Meissner Equations with an Eigenvalue-inducing Interface

DOI10.1007/978-3-0348-0263-5_1zbMath1263.34031OpenAlexW46466108MaRDI QIDQ2914462

Michael S. P. Eastham, B. Malcolm Brown

Publication date: 20 September 2012

Published in: Spectral Theory, Function Spaces and Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0263-5_1

zbMATH Keywords

eigenvalue problemperiodic boundary conditionFloquet theoryspectral gapsanti-periodic boundary conditionMeissner equations

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Numerical computation of eigenvalues in spectral gaps of Sturm-Liouville operators
• Inequalities among eigenvalues of Sturm-Liouville problems
• Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
• Lattice dislocations in a 1-dimensional model
• Invariance of the stability of Meissner's equation under a permutation of its intervals
• Resonance Pockets of Hill's Equations with Two-Step Potentials
• LENGTHS OF INSTABILITY INTERVALS OF SECOND ORDER PERIODIC DIFFERENTIAL EQUATIONS
• Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation
• A Special Hill's Equation with Discontinuous Coefficients
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