| 一类三阶常系数脉冲微分方程周期解的存在性 |
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| 引用本文： | 郝平平,宋纯聚,冯春华. 一类三阶常系数脉冲微分方程周期解的存在性[J]. 广西师范学院学报(自然科学版), 2011, 28(3): 6-10 |
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| 作者姓名： | 郝平平 宋纯聚 冯春华 |
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| 作者单位： | 广西师范大学数学科学学院,广西桂林,541004 |
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| 基金项目： | 国家自然科学基金资助项目(10961005) |
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| 摘 要： | 将二阶非齐次常系数脉冲微分方程周期解的存在性的结果推广到三阶非齐次常系数脉冲微分方程上．对于三阶非齐次常系数脉冲微分方程，给出一组系数应当满足的条件以保证方程周期解存在．
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| 关 键 词： | 三阶常系数脉冲方程 周期解 乘子 |
Existence of Periodic Solutions for a Class of Third Order Non-homogeneous Differential Equations with Impulses |
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| HAO Ping-ping,SONG Chun-ju,FENG Chun-hua. Existence of Periodic Solutions for a Class of Third Order Non-homogeneous Differential Equations with Impulses[J]. Journal of Guangxi Teachers Education University:Natural Science Edition, 2011, 28(3): 6-10 |
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| Authors: | HAO Ping-ping SONG Chun-ju FENG Chun-hua |
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| Affiliation: | HAO Ping-ping,SONG Chun-ju,FENG Chun-hua(Mathematics Science College,Guangxi Normal University,Guilin 541004,P.R.China) |
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| Abstract: | The existence of periodic solutions for the third-order non-homogeneous impulsive differential equations with constant coefficients is investigated.A set of coefficient conditions to ensure the existence of periodic solutions for this equation is proposed. |
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| Keywords: | third order constant coefficient impulsive differential equation periodic solution multiplier |
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