Asymptotics of Eigenvalues for Regular Sturm-Liouville Problems
✍ Scribed by B.J. Harris
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 247 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
By investigating the asymptotic properties of the eigenfunctions for a general class of nonlinear Sturm᎐Liouville problems, we shall establish a formula for spectral asymptotics.
We give some comparison theorems about the location of the peak of the first Dirichlet Sturm᎐Liouville eigenfunction by means of the variational method.
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