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Singular Sturm—Liouville problems with nonnegative and indefinite weights

✍ Scribed by Hans G. Kaper; Man Kam Kwong; Anton Zettl


Publisher
Springer Vienna
Year
1984
Tongue
English
Weight
553 KB
Volume
97
Category
Article
ISSN
0026-9255

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Strongly Singular Sturm – Liouville Prob
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We consider a Sturm -Liouville operator Lu = -(r(t)u ) +p(t)u, where r is a (strictly) positive continuous function on ]a, b[ and p is locally integrable on ]a, b[ . Let r 1 (t) = t a (1/r) ds and choose any c ∈ ]a, b[ . We are interested in the eigenvalue problem Lu = λm(t)u, u(a) = u(b) = 0, and t

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## Abstract Various notions of indices for definite and indefinite Sturm‐Liouville problems are introduced and relations between them are investigated (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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