一类二阶三点边值问题解的存在性

Existence of Solutions for a Second Order Three-Point Boundary Value Problem

摘要:

运用上下解方法,研究了一类二阶混合非线性边值条件的三点边值问题,通过构造了适当的非线性辅助函数f,得到了解存在的充分条件,推广和改进了某些已知的结果。

Abstract:

Using the method of upper and lower solutions, the existence of solutions of a second order three-point boundary value problem with mixed nonlinear boundary conditions was studied. We used a different modification of the nonlinearity f and obtained some sufficient criterion of existence with solutions. The result improved and extended some known results.