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一类带有Sturm-Liouville边值条件的分数阶微分方程多解的存在性
尹传凯, 田玉
北京邮电大学 理学院, 北京 100876
摘要:
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.
关键词:  多解性  Sturm-Liouville边值条件  分数阶微分方程
DOI:10.3969/J.ISSN.1000-5137.2020.03.012
分类号:O175.14
基金项目:
Multiple solutions for a fractional-order differential equation with Sturm-Liouville boundary condition
YIN Chuankai, TIAN Yu
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
Abstract:
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.
Key words:  multiple solutions  Sturm-Liouville boundary condition  fractional-order differential equation