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: |
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Multiple solutions for a fractional-order differential equation with Sturm-Liouville boundary condition |
YIN Chuankai, TIAN Yu
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School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
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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 |