Abstract
In this paper the existence results of positive solutions are obtained for fourth-order boundary value problem u (4)+βu″−αu=f(t,u), 0<t<1,u(0)=u(1)=u″(0)=u″(1)=0, where f :[0,1]× R +→ R + is continuous, α,β∈ R and satisfy β<2 π 2, α⩾− β 2/4, α/ π 4+ β/ π 2<1.
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