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The counting function for a λ–rational Sturm–Liouville problem

✍ Scribed by Leon Greenberg; Marco Marletta

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
428 KB
Volume
254-255
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 oscillation theory requires a regularizing transformation of Niessen and Zettl.

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