## 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)
✦ LIBER ✦
Indefinite Sturm-Liouville problems and half-range completeness
✍ Scribed by Richard Beals
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 700 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0022-0396
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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