【摘要】 利用不动点指数理论,讨论了含无数个间断点的脉冲Sturm-Liouville方程边值问题(p(t)x′(t))′+f(t,x(t))=0,t∈[0,1],t≠tk;-Δx′|t=tk=Ik(x(tk)),k=1,2,…,α1x(0)-β1p(0)x′(0)=0;α2x(1)+β2p(1)x′(1)=0的正解的存在性.更多还原

【Abstract】 Applying the fixed point index theory,the existence of positive solutions is established for the Sturm-liouville boundary value problems of the form(p(t)x′(t))′+f(t,x(t))=0,t∈ ,t≠tk;-Δ x′|t=tk=Ik(x(tk)),k=1,2,…,α1x(0)-β1p(0)x′(0)=0;α2x(1)+β2p(1)x′(1)=0.更多还原