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Some Comparison Theorems for Sturm–Liouville Eigenvalue Problems

✍ Scribed by Chie-Ping Chu


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
90 KB
Volume
262
Category
Article
ISSN
0022-247X

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✦ Synopsis


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


📜 SIMILAR VOLUMES


An Oscillation Theorem for a Sturm -Liou
✍ Martin Bohner 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 244 KB

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