| 基于临界点定理脉冲分数阶微分方程的解 |
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| 引用本文： | 杨飞,陈国平.基于临界点定理脉冲分数阶微分方程的解[J].吉首大学学报(自然科学版),2016,37(3):14-18. |
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| 作者姓名： | 杨飞 陈国平 |
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| 作者单位： | (College of Mathematics and Statistics，Jishou University，Jishou 416000，Huana China) |
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| 摘 要： | 讨论了一类带有脉冲的分数阶微分方程Dirichlet边值问题解的存在性及多解性.通过利用临界点理论及其他的数学分析技巧获得了边值问题解的存在性及多解性的充分条件.
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| 关 键 词： | 临界点定理 脉冲 分数阶 微分方程 变分法 多解 |
Solutions for Impulsive FractionalOrder Differential Equations Based on Critical Point Theorem |
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| YANG Fei,CHEN Guoping.Solutions for Impulsive FractionalOrder Differential Equations Based on Critical Point Theorem[J].Journal of Jishou University(Natural Science Edition),2016,37(3):14-18. |
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| Authors: | YANG Fei CHEN Guoping |
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| Institution: | (College of Mathematics and Statistics，Jishou University，Jishou 416000，Huana China) |
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| Abstract: | The Critical-Point Theory and other mathematical analysis techniques for the boundary value problems are applied for the discussion of the existence and multiplicity of solutions for the Dirichlet boundary value problems for a class of impulsive fractional order differential equations.The sufficient conditions for the existence and multiplicity are obtained. |
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| Keywords: | impulsive fractional order differential equations variational methods multiple solutions |
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