𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Eigenvalues of a λ – Rational Sturm– Liouville Problem

✍ Scribed by Matthias Langer

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
241 KB
Volume
210
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The counting function for a λ–rational S
The counting function for a λ–rational Sturm–Liouville problem
✍ Leon Greenberg; Marco Marletta 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 428 KB

## Abstract We develop an oscillation theory for an equation of Hain–Lüst type, valid both outside and inside the essential spectrum. The results proved allow us to locate eigenvalues in the essential spectrum or resonances close to the essential spectrum. The numerical implementation of the oscill

A Sturm–Liouville problem depending rati
A Sturm–Liouville problem depending rationally on the eigenvalue parameter
✍ Peter Jonas; Carsten Trunk 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 234 KB

## Abstract We consider the Sturm–Liouville problem (1.1) and (1.2) with a potential depending rationally on the eigenvalue parameter. With these equations a __λ__ ‐linear eigenvalue problem is associated in such a way that __L__~2~‐solutions of (1.1), (1.2) correspond to eigenvectors of a linear o

An Oscillation Theorem for a Sturm -Liou
An Oscillation Theorem for a Sturm -Liouville Eigenvalue Problem
✍ 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