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Eigenvalues of Regular Sturm–Liouville Problems

✍ Scribed by Q. Kong; A. Zettl


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
630 KB
Volume
131
Category
Article
ISSN
0022-0396

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✦ Synopsis


The eigenvalues of Sturm Liouville (SL) problems depend not only continuously but smoothly on the problem. An expression for the derivative of an eigenvalue with respect to a given parameter: an endpoint, a boundary condition, a coefficient or the weight function, is found.


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Some Comparison Theorems for Sturm–Liouv
✍ Chie-Ping Chu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 90 KB

We give some comparison theorems about the location of the peak of the first Dirichlet Sturm᎐Liouville eigenfunction by means of the variational method.