一类带有Sturm-Liouville边值条件的分数阶微分方程多解的存在性

Multiple solutions for a fractional-order differential equation with Sturm-Liouville boundary condition

研究了一类带有Sturm-Liouville边值条件的分数阶微分方程解的存在性问题.通过临界点理论证明了该问题多解的存在性,并且得到了新的结果.

In this paper,we study a fractional-order differential equation with Sturm-Liouville boundary condition.By using a recent critical-point theorem,we prove the existence of multiple solutions for the problem.In addition,the existence results of multiple solutions are new.