Eigenvalues of fourth-order singular Sturm–Liouville boundary value problems
✍ Scribed by Xinguang Zhang; Lishan Liu; Huichao Zou
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 222 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order Sturm-Liouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order Sturm-Liouville problem
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