We give some comparison theorems about the location of the peak of the first Dirichlet SturmแLiouville eigenfunction by means of the variational method.
Sampling Theorems Associated with Singularq-Sturm Liouville Problems
โ Scribed by Annaby, M. H.; Hassan, H. A.; Mansour, Z. S.
- Book ID
- 118162809
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 262 KB
- Volume
- 62
- Category
- Article
- ISSN
- 1422-6383
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๐ SIMILAR VOLUMES
For every positive integer n, we construct a class of regular self-adjoint and nonself-adjoint Sturm-Liouville problems with exactly n eigenvalues. These n eigenvalues can be located anywhere in the complex plane in the non-self-adjoint case and anywhere along the real line in the self-adjoint case.
We consider a certain Sturm -Liouville eigenvalue problem with self-adjoint and non ~ separated boundary conditions. We derive an explicit formula for the oscillation number of any given eigenfunction. 1991 Mathematics Subject Classification. 34 C 10. Keywords and phrases. Oscillation number, index