数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 358-365.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.006
摘要: In this paper, the second-order three-point boundary value problem {u"(t)+λa(t)f(t,u(t))=0,0<t<1,u(t)=u(1-t),u′(0)-u′(1)=u(1/2)is studied,where λ is a positive parameter,under various assumption on a and f,we establish intervals of the parameter λ,which yield the existence of positive solution,our proof based on Krasnosel’skii fixed-point theorem in cone.
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