| 一类带有Sturm-Liouville边值条件的分数阶微分方程多解的存在性 |
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| 引用本文： | 尹传凯,田玉.一类带有Sturm-Liouville边值条件的分数阶微分方程多解的存在性[J].上海师范大学学报(自然科学版),2020,49(3):359-370. |
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| 作者姓名： | 尹传凯 田玉 |
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| 作者单位： | 北京邮电大学理学院,北京100876;北京邮电大学理学院,北京100876 |
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| 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.
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| 关 键 词： | 多解性 Sturm-Liouville边值条件 分数阶微分方程 |
| 收稿时间： | 2020/3/4 0:00:00 |
Multiple solutions for a fractional-order differential equation with Sturm-Liouville boundary condition |
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| YIN Chuankai and TIAN Yu.Multiple solutions for a fractional-order differential equation with Sturm-Liouville boundary condition[J].Journal of Shanghai Normal University(Natural Sciences),2020,49(3):359-370. |
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| Authors: | YIN Chuankai and TIAN Yu |
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| Institution: | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China and 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. |
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| Keywords: | multiple solutions Sturm-Liouville boundary condition fractional-order differential equation |
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