The existence of a positive solution of the singular three-point boundary value problem{u″(t)+a(t)f(u(h(t)))=0,t∈(0,1)u(0)=0,αu(η)=u(1)is investigated by using the fixed-point theorem of the cone expansion-compression,where η∈(0,1),α>0 and 1-αη>0,a(t)is allowed to be singular at t=0,1 and f(u)may be singular at u=0.
利用锥拉压不动点定理,讨论了三点边值问题{u″(t)+a(t)f(u(h(t)))=0,t∈(0,1)u(0)=0,αu(η)=u(1)。 正解的存在性,其中η∈(0,1),α>0且1-αη>0,不仅a(t)可以在t=0,1处奇异,并允许f(u)在u=0处奇异。
参考来源 - 奇异次线性三点边值问题的正解·2,447,543篇论文数据,部分数据来源于NoteExpress
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