一类二阶常微分方程泛函边值问题解的存在性

Existence of solutions of a functional boundary value problem for second-order ordinary differential equations

运用Leray-Schauder原理讨论一类二阶非线性常微分方程泛函边值问题解的存在性.其中边值条件是由Stieltjes积分定义的有界线性泛函,更具有一般性.

By using Leary-Schauder principle, the value problem for second-order nonlinear ordinary conditions are bounded linear functional defined by existence of solutions of a class of functional boundary differential equations is discussed. And the boundary Stieltjes integrals, which manifest even more generality.