| Banach空间脉冲微分方程周期边值问题的正解 |
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| 引用本文： | 刘晓亚.Banach空间脉冲微分方程周期边值问题的正解[J].郑州大学学报(自然科学版),2012(1):15-19,45. |
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| 作者姓名： | 刘晓亚 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃兰州730070 |
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| 摘 要： | 运用凝聚映射的不动点指数理论讨论了有序Banach空间E中的脉冲微分方程周期边问题u＇（t）＋Mu（t）=f（t,u（t））,t∈J,t≠tkΔut=tk=Ik（u（tk））,k=1,2,…,mu（0）=u（ω{）正解的存在性.
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| 关 键 词： | 周期边值问题 正解 闭凸锥 不动点指数 凝聚映射 |
Positive Solutions for Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces |
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| LIU Xiao-ya.Positive Solutions for Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces[J].Journal of Zhengzhou University (Natural Science),2012(1):15-19,45. |
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| Authors: | LIU Xiao-ya |
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| Institution: | LIU Xiao-ya(College of Mathematics and Information Science,Northwest Normal University, Lanzhou 730070,China) |
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| Abstract: | The existence of positive solutions for periodic boundary value problem of impulsive differential equations u′（t）＋Mu（t）=f（t,u（t））,t∈J,t≠tkΔut=tk=Ik（u（tk））,k=1,2,…,mu（0）=u（ω） in an ordered Banach space E was discussed by employing the fixed point index theory of condensing mapping. |
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| Keywords: | periodic boundary value problem positive solution closed convex cone fixed point index condensing mapping |
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