一类二阶三点边值问题正解存在性

二阶边值问题在控制理论中有重要的应用价值。人们常常需要知道在非线性项满足超线性或次线性的情况下正解的存在性的结论。文章利用Krasnose'skill不动点定理,建立了一类二阶广义Sturm-Liouville边值问题在有限区间上正解存在性的一个定理,对现有的一些结论作了一定的推广和补充。

Krasnosel' skill fixed point and a second-order three-point boundary value problem

Second-order boundary value problem is an important problem in automation domain.people often need to know the existence of positive solution for a boundary value problem,especially in the case of super linearity.By using Krasnose'skill fixed point theorem we establish the existence of positive solution for a second-order Sturm-Liouville boundary value problem in this paper.