Multiple Positive Solutions of Strum-liouville Equations with Singularities
نویسندگان
چکیده
We always assume that the following hypotheses hold: (A1) p ∈ C([0,1], [0,+∞]), and ∫ 1 0 dt/p(t) < +∞; (A2) g∈ L(0,1), and g(s)≥ 0, a.e. and there exists [a,b]⊂ (0,1), such that 0< ∫ b a g(s)ds; (A3) F(t,u)∈ C([0,1]× [0,+∞],[0,+∞]). The BVP(1.1) arises in many different areas of applied mathematics and physics, and only its positive solution is significant in some practice. For the special case as follows with
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