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Nonlinear singular Sturm–Liouville problems

✍ Scribed by Michel Duhoux

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
165 KB
Volume
38
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Strongly Singular Sturm – Liouville Prob
Strongly Singular Sturm – Liouville Problems
✍ 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