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Real Singularities of Singular Sturm–Liouville Expansions

✍ Scribed by Walter, Gilbert G.; Zayed, Ahmed J.

Book ID
118201580
Publisher
Society for Industrial and Applied Mathematics
Year
1987
Tongue
English
Weight
682 KB
Volume
18
Category
Article
ISSN
0036-1410

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Strongly Singular Sturm – Liouville Prob
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✍ Michel Duhoux 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB

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