A note on a paper of Harris concerning the asymptotic approximation to the eigenvalues of $-y"+qy=λy$, with boundary conditions of general form

Authors: Mahdi Hormozi

arXiv: 1202.3971v1 - DOI (math.SP)

Abstract: In this paper, we derive an asymptotic approximation to the eigenvalues of the linear differential equation $$ -y"(x)+q(x)y(x)=\lambda y(x), x\in (a,b) $$ with boundary conditions of general form, when $q$ is a measurable function which has a singularity in $(a,b)$ and which is integrable on subsets of $(a,b)$ which exclude the singularity.

Submitted to arXiv on 17 Feb. 2012

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