Banach空间中二阶三点系统边值问题正解的存在性

The Existence of Positive Solutions for Second Order Differential Systems with Three-point Boundary Problem in Banach Space

本文研究了Banach空间中二阶三点系统边值正解问题,利用Darbo不动点定理,在非线性项f(t,v(t))关于y满足次线性,g(t,u(t))关于u满足次线性条件的情况下,得到了一个正解存在性的结果。

The existence of positive solutions of second order differential systems with three-point boundary value problems in Banach space is investigated.By employing Darbo＇s fixed-point theorem,a new existence result are given under the case of nonlinearity f（t,v（t）） is sublinear in v and g（t,u（t）） is sublinear in u.