Asymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems
✍ Scribed by Mahmoud H. Annaby; Zeinab S. Mansour
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 239 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
## Communicated by B. Brosowski We consider the two-parameter non-linear Sturm-Liouville problems. By using the variational method on general level sets, the variational eigenvalues are obtained. The purpose of this paper is to study the properties of these variational eigenvalues with respect to
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
## Abstract Atkinson's semi‐definite Sturm–Liouville problem consists of the differential equation –(__y__ ′/__s__ )′ + __qy__ = __λry__ , with __s__ , __q__ , __r__ integrable on [__a__ , __b__ ], __q__ real‐valued, __s, r ≥__ 0, and separated boundary conditions at __a, b__ . The asymptotic behav