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

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

2012-02-17

arxiv.org/abs/1202.3971v1

Mathematics

Spectral Theory

Scientific paper

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.

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