𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Posterior two-sided estimates for eigenvalues of the singular Sturm-Liouville problem

✍ Scribed by I. M. Lyashenko; B. M. Lyashenko


Publisher
Springer US
Year
1995
Tongue
English
Weight
389 KB
Volume
75
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Guaranteed Error Bounds for Eigenvalues
✍ B.M. Brown; D.K.R. McCormack; M. Marletta πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 272 KB

We develop a simple oscillation theory for singular Sturm -Liouville problems and combine it with recent asymptotic results, and with the AWA interval-arithmetic code for integration of initial value problems with guaranteed error bounds, to obtain eigenvalue approximations with guaranteed error bou

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