Asymptotic estimates for the Sturm-Liouville spectrum

DOI10.1002/cpa.3160140408zbMath0102.07403OpenAlexW2123761643MaRDI QIDQ3284796

Harry Hochstadt

Publication date: 1961

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://archive.org/details/asymptoticestima00hoch

zbMATH Keywords

ordinary differential equations

Related Items

Asymptotic formulae for eigenvalues of limit circle problems on a half line, Correction of finite element eigenvalues for problems with natural or periodic boundary conditions, Intervalles d'instabilité pour une équation de Hill à potentiel méromorphe, Function-theoretic properties of the discriminant of Hill's equation, A series solution for certain Riccati equations with applications to Sturm-Liouville problems, The band spectrum of the periodic Airy-Schrödinger operator on the real line, On the asymptotic spectrum of Hill's equation, Integral characteristic function of a nonlinear Sturm-Liouville problem, BetheSF: efficient computation of the exact tagged-particle propagator in single-file systems via the Bethe eigenspectrum, Asymptotic behavior of solutions of the initial boundary value problem for a hyperbolic equation with periodic coefficients on the semi-axis, Estimates of large eigenvalues and trace formula for the vectorial Sturm-Liouville equations, On the asymptotic simplicity of periodic eigenvalues and Titchmarsh's formula, A novel discriminant approximation of periodic differential equations, On the integral characteristic function of the Sturm-Liouville problem, Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the \(p\)-Laplacian, Asymptotic approximations of eigenvalues and eigenfunctions for regular Sturm-Liouville problems, The asymptotic behavior of nonlinear eigenvalues, Eigenvalues of Sturm-Liouville Problems Using Fliess Series, Asymptotics of eigenvalues for regular Sturm--Liouville problems with eigenvalue parameter in the boundary condition, On the determination of a Hill's equation from its spectrum, Sturm-Liouville systems with potentials 0.5 cos 2nx, On some inverse problems in matrix theory, Asymptotic eigenvalues of Sturm-Liouville systems, On the instability intervals of the Mathieu--Hill operator, On a singular inverse eigenvalue problem, Boundary null-controllability of coupled parabolic systems with Robin conditions, Efficient computation of the Prüfer phase function for determining eigenvalues of Sturm-Liouville systems, On the location of spectral concentration for Sturm–Liouville problems with rapidly decaying potential, Iterative solution of the inverse Sturm-Liouville problem, The asymptotic properties of high frequencies for bars, beams and membranes, Estimates for the eigenvalues of Hill's equation and applications for the eigenvalues of the Laplacian on toroidal surfaces