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Periodic problems with asymmetric nonlinearities and nonsmooth potentials

✍ Scribed by Michael Filippakis; Leszek Gasiński; Nikolaos S. Papageorgiou


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
306 KB
Volume
58
Category
Article
ISSN
0362-546X

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Second-order Sturm–Liouville problems wi
✍ Bryan P. Rynne 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 153 KB

We consider the nonlinear Sturm-Liouville problem (1) where p ∈ C 1 [0; ], q ∈ C 0 [0; ], with p(x) ¿ 0, x ∈ [0; ], and c 2 i0 + c 2 i1 ¿ 0, i =0; 1. We suppose that f : [0; ] × R 2 → R is continuous and there exist increasing functions l ; u : [0; ∞) → R, and a constant B, such that limt→∞ l (t)