The existence of positive solutions for second-order semi-positone problem{-u"(t)=λ(f(u(t))+a(t)),t∈(0,1),u(0)=u(1)=0 is studied,where λ is a positive parameter,a ∈ C([0,1],R),f∈C([0,∞),[0,∞)).When f has a superlinear growth,we prove that there exists a constant λ*＞0 such that the problem has a positive solution for 0＜λ＜λ*.The proof of the main results is based on a fixed point theorem in cones.
关键词
正解/半正问题/Dirichlet边界条件/不动点定理
Key words
positive solution/semi-positone problem/Dirichlet boundary condition/fixed point theorem
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