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Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients

✍ Scribed by A McNabb; R.S Anderssen; E.R Lapwood


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
449 KB
Volume
54
Category
Article
ISSN
0022-247X

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Asymptotics of Eigenvalues for Sturm-Lio
✍ B.J. Harris; D. Race πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 718 KB

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