Eigenvalue approximations for linear periodic differential equations with a singularity

We consider the second order, linear differential equation \begin{equation*}y''(x) + (\lambda.q(x)) y(x) = 0 \tag{1}\end{equation*} where $q$ is a real-valued, periodic function with period a. Our object in this paper is to derive asymptotic estimates for the eigenvalues of (1) on $[0;a]$...

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Bibliographic Details
Main Authors: B. J. Harris, F. Marzano
Format: Article
Language:English
Published: University of Szeged 1999-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=16