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New series of asymptotics of eigenvalues of the Sturm-Liouville problem with rapidly oscillating coefficients

✍ Scribed by S. A. Nazarov

Publisher: SP MAIK Nauka/Interperiodica
Year: 1992
Tongue: English
Weight: 234 KB
Volume: 52
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01236623

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We consider the asymptotic form of the eigenvalues of the linear differential equation \[ -y^{\prime \prime}(x)+q(x) y(x)=\lambda y(x), \quad-\infty<a<x<b<x, \] where \(a<0<b, q(x)\) is singular at \(x=0\), and \(y\) satisfies appropriate conditions at \(a, 0\), and \(b\). This extends previous wo