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An Oscillation Theorem for a Sturm -Liouville Eigenvalue Problem

✍ Scribed by Martin Bohner

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
244 KB
Volume
182
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 of a symmetric matrix. (Note that x;(t) k ( t , A, ) -i ; ( t ) x(t, A, ) 1 holds on [a, b] .) Furthermore, we define

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