Characterization of left-definiteness of Sturm–Liouville problems
✍ Scribed by Guangsheng Wei; Jianhua Wu
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 147 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
The left‐definiteness for both regular and singular Sturm–Liouville problems is characterized. We give a necessary and sufficient condition on the coefficients, the endpoints and the boundary conditions of Sturm–Liouville problems to determine the left‐definiteness. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
## Abstract Various notions of indices for definite and indefinite Sturm‐Liouville problems are introduced and relations between them are investigated (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract Sturm–Liouville equations will be considered where the boundary conditions depend rationally on the eigenvalue parameter. Such problems apply to a variety of engineering situations, for example to the stability of rotating axles. Classesof these problems will be isolated with a rather r