Banach空间奇异m点边值问题的正解

Positive solutions for singular m-point boundary value problems in a Banach space

通过构造一个特殊的闭凸集,利用M¨onch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)=sum from i=1 to m-2 (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.