一类n阶两点边值问题三个正解的存在性

Existence of Three Positive Solutions for Some nth Order Two Point Boundary Value Problem

建立了一个锥上的泛函形式的不动点定理,讨论了一类非线性项依赖低阶导数的n阶两点边值问题并得到了三个正解的存在性,最后给出了一个例子以验证前面得到的结果.

A new fixed point theorem of functional type in ry value problem is considered and the existence of three a cone is established, an nth order two point bounda- positive solutions is obtained. Finally, an example is given to verify the result.