通过构造一个特殊的闭凸集,利用Msnch不动点定理研究了下列Banach空间奇异m点边值问题的正解。{φ"(x)+f(x,φ(x))=0,(0〈x〈1) φ(0)=θ,φ(1)=∑i=1^n-1 aiφ(ξi)。
By constructing a particular closed convex set and applying the Monch fixed-point theorem, the existence of a positive solution for singular m-point boundary value problem {φ"(x)+f(x,φ(x))=0,(0〈x〈1) φ(0)=θ,φ(1)=∑i=1^n-1 aiφ(ξi) was obtained in a Banach space.