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An Open Problem: Accumulation of Nonreal Eigenvalues of Indefinite Sturm–Liouville Operators

✍ Scribed by Jussi Behrndt


Book ID
120746721
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
168 KB
Volume
77
Category
Article
ISSN
0378-620X

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Asymptotics of Eigenvalues for Sturm-Lio
✍ B.J. Harris; D. Race 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 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