一类非线性三点边值问题正解的存在性

Existence of Positive Solutionsfor the Nonlinear Three-Point Boundary Value Problems

摘要:

文章研究了一类非线性三点边值问题正解的存在性。运用一种新的方法得到格林函数的一些性质,然后运用Guo-Krasnoselskii不动点定理建立了边值问题在满足很弱的条件下解存在的条件,推广和改善了相关文献的结果。

Abstract:

In this paper, considering the nonlinear three-point boundary value problem new method for some properties of Green’s function was studied. By using Guo-Krasnoselskii fixed point theorem, The existence of solutions was established which improved and generalize some existing results in corresponding literatures.