| 一类分数阶时滞微分方程三点共振边值问题解的存在性 |
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| 引用本文： | 郑春华,傅霞. 一类分数阶时滞微分方程三点共振边值问题解的存在性[J]. 云南民族大学学报(自然科学版), 2016, 0(4): 329-335 |
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| 作者姓名： | 郑春华 傅霞 |
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| 作者单位： | 陕西工业职业技术学院基础部 |
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| 基金项目： | 国家自然科学基金(11271364);陕西工业职业技术学院科研项目(14KCGG-088) |
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| 摘 要： | 利用Mawhin延拓定理研究了一类具有时滞的分数阶微分方程三点共振边值问题,在非线性项满足线性增长的条件下讨论了该边值问题解的存在性,所得结果对文献中的已有工作进行了推广和改进.
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| 关 键 词： | 分数阶微分方程 时滞 三点共振边值问题 延拓定理 |
The existence of solutions for a class of the fractional differential equation with the three-point boundary value problem at resonance and delay |
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| ZHENG Chun-hua;FU Xia. The existence of solutions for a class of the fractional differential equation with the three-point boundary value problem at resonance and delay[J]. Journal of Yunnan Nationalities University:Natural Sciences Edition, 2016, 0(4): 329-335 |
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| Authors: | ZHENG Chun-hua FU Xia |
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| Affiliation: | ZHENG Chun-hua;FU Xia;Department of General -Knowledge Courses.,Shaanxi Polytechnic Institute; |
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| Abstract: | The existence of solutions for a class of the fractional differential equation with the three- point boundary value problem at resonance and delay is studied by using Mawhin's continuation theorem. Some new results have proved the existence of solutions for this boundary value problem when the nonlinear item satisfies the linear growth condition. Some known work are generalized and improved. |
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| Keywords: | fractional differential equation delay three-point boundary value problem at resonance continuation theorem |
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