高阶Sturm-Liouville型边值问题多个对称正解的存在性

Existence of Multiple Symmetric Positive Solutions of Higher Order Sturm-Liouville-type Boundary Value Problem

该文考虑如下高阶Sturm-Liouville型四点边值问题其中f依赖于未知函数u的所有低阶项导数.应用五个泛函不动点定理,建立了至少三个对称正解存在的充分条件.

In this paper,the authors consider the following higher order Sturm-Liouville-type four-point boundary value problem where nonlinear f depends on all lower order derivatives of u.Sufficient conditions of existence of at least three symmetric positive solutions are established by applying five-functional fixed point theorem.