一类三阶三点边值问题的可解性

摘要

The solubility for a kind of nonlinear ordinary differential equation with third-order three-point boundary value problems was addressed. In terms of constructing suitable banach space and leray-schauder fixed theorem under the condition of linear growth for nonlinearity item, the existence of solution or positive solution was proved.%讨论了一类非线性常微分方程三阶三点边值问题的可解性．在非线性项满足线性增长的条件下，通过构造适当的Banach空间并用Leray-Schauder不动点定理证明了该问题必存在解或正解．