Sturm-Liouville problem with irregular asymptotics of eigenvalues
β Scribed by V. A. Borovikov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1991
- Tongue
- English
- Weight
- 367 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
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
The eigenvalues of Sturm Liouville (SL) problems depend not only continuously but smoothly on the problem. An expression for the derivative of an eigenvalue with respect to a given parameter: an endpoint, a boundary condition, a coefficient or the weight function, is found.