| 一类分数阶耦合系统多点边值共振问题解的存在性 |
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| 引用本文： | 张宁,张娣,史小艺.一类分数阶耦合系统多点边值共振问题解的存在性[J].成都大学学报(自然科学版),2012,31(2):140-147. |
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| 作者姓名： | 张宁 张娣 史小艺 |
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| 作者单位： | 1. 中国矿业大学理学院,江苏徐州,221116
2. 中国矿业大学管理学院,江苏徐州,221116 |
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| 摘 要： | 利用Mawhin的连续性定理及迭合度理论,在一定条件下,讨论了分数阶非线性微分方程耦合系统多点边值共振问题解的存在性,得到了解存在的充分条件,推广了现有的结果.
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| 关 键 词： | 分数阶 非线性微分方程 多点边值问题 迭合度 |
Existence of Solutions to Multi-point Boundary Value Problems at Resonance for One Fractional Order Coupling System |
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| ZHANG Ning,ZHANG Di,SHI Xiaoyi.Existence of Solutions to Multi-point Boundary Value Problems at Resonance for One Fractional Order Coupling System[J].Journal of Chengdu University (Natural Science),2012,31(2):140-147. |
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| Authors: | ZHANG Ning ZHANG Di SHI Xiaoyi |
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| Institution: | 1(1.School of Sciences,China University of Mining and Technology,Jiangsu 221116,China; 2.School of Management,China University of Mining and Technology,Jiangsu 221116,China) |
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| Abstract: | Mawhin’s continuous theorem and coincidence degree theory were used to discuss existence of solutions to multi-point boundary value problems at resonance for fractional order coupling system with certain condition.Necessary conditions were obtained when there is solution and the present outcome was promoted. |
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| Keywords: | fractional nonlinear differential equation multi-point boundary value problem coincidence de- |
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