一类二阶m点边值问题的正解存在性

The Existence of Positive Solutions of a Type of Second Order m -Point Boundary Value Problem

泛函分析的某些方法对常微分方程定性问题(如多点边值问题)的研究起着非常重要的作用.RunyunMa和NelsonCastaneda讨论了多点边值问题的正解存在性.利用锥上不动点定理研究了一类二阶m点边值问题的正解存在性,推广了RunyunMa和NelsonCastaneda的结果.

Some functional methods are widely used to solve certain problems related to some kind of ordinary differential equations.Runyun Ma and Nelson Castaneda discussed the positive solution of ordinary differential equations.In this paper,we discuss the existence of solutions of such differential equations by using the method of fixed point theorem in cone,which is the continuation of the work of Runyun Ma and Nelson Castaneda.