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Second order, Sturm–Liouville problems with asymmetric, superlinear nonlinearities II

✍ Scribed by Bryan P. Rynne

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
259 KB
Volume
57
Category
Article
ISSN
0362-546X

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✦ Synopsis

We consider the nonlinear Sturm-Liouville problem

where

with p(x) ¿ 0 for all x ∈ [0; ]; c 2 i0 + c 2 i1 ¿ 0, i = 0; 1; h ∈ L 2 (0; ). We suppose that f : [0; ] × R → R is continuous and there exist increasing functions l ; u : [0; ∞) → R, and positive constants A, B, such that limt→∞ l (t) = ∞ and -A + l ( ) 6 f(x; ) 6 A + u( ) ; ¿ 0; |f(x;

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