一类偶数阶Sturm-Liouvile四点边值问题多个正解的存在性

The existence of multiple positive solutions for an even order Sturm-Liouville boundary value problem

讨论了一类偶数阶四点边值问题正解的存在性,借助Leggett-Williams不动点定理和不等式技巧,得到了该边值问题至少存在三个和任意奇数个正解的充分条件.

In this paper, we discuss the existence of positive solutions for an even order four point boundary valueproblems. Sufficient conditions are obtained for the existence of three or arbitrary odd positive solutions of the boundary value problem by using Leggett-Williams fixed point theorem and inequality techniques.