一类非线性边值问题正解的存在性研究

Research on the Existence of Positive Solution for Nonlinearities Boundary Value

摘要:

为讨论一类非线性二阶两点边值问题正解的存在性,利用上下解方法,构造相应锥映射,给出非线性变号的二阶两点边值问题正解存在性的判定方法；对已发表文献中相应的结果进行推广,从而获得该类边值问题存在正解的重要结论。

Abstract:

Using the method of upper and lower solutions, constructing corresponding cone mapping, the method of existence of positive solution to second order secondpoint boundary value of the nonlinearities sign change was given. Generalizing the corresponding results of the publoshed, the important conclusion was obtained.