泛函微分方程边值问题解的存在性研究

Existence of Solutions for Boundary Value Problems of Functional Differential Equations

研究二阶泛函微分方程的边值问题,通过定义八类耦合上下解,运用上下解、数学归纳和单调迭代等方法证明解的存在性.最后通过实例加以验证,说明所得到的结论具有较广泛的适用性.

This paper studies the boundary value problem of the second order functional differential equation.By defining eight kinds of coupling upper and lower solutions,the existence of the solutions is proved by using the methods of upper and lower solutions,mathematical induction and monotone iteration.Finally,an example is given to illustrate the applicability of the conclusion.