| Banach空间脉冲微分方程无穷边值问题的混合单调迭代求解 |
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| 引用本文： | 汪子莲,丁珂.Banach空间脉冲微分方程无穷边值问题的混合单调迭代求解[J].宁夏大学学报(自然科学版),2012,33(2):135-139,143. |
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| 作者姓名： | 汪子莲 丁珂 |
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| 作者单位： | 1. 兰州工业学院基础学科部,甘肃兰州,730050
2. 中山大学岭南学院,广东广州,510275 |
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| 基金项目： | 甘肃省教育厅科研资助项目 |
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| 摘 要： | 对Banach空间X中的脉冲微分方程无穷边值问题引入了L（t）-拟上下解的概念，在适当的条件下，通过构造L（t）一拟上下解的单调迭代过程，获得了其最小、最大L（t）-拟解对的存在性以及在最小、最大L（t）-拟解对之间解的存在性．
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| 关 键 词： | 正规锥 脉冲微分方程 L（t）-拟上下解对 无穷边值问题 单调迭代技巧 |
Mixed Monotone Iterative for Infinite Boundary Value Problems of Impulsive Differential Equations in Banach Spaces |
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| Wang Zilian
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Ding Ke.Mixed Monotone Iterative for Infinite Boundary Value Problems of Impulsive Differential Equations in Banach Spaces[J].Journal of Ningxia University(Natural Science Edition),2012,33(2):135-139,143. |
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| Authors: | Wang Zilian Ding Ke |
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| Institution: | 1.Basic Courses Department,Lanzhou Polytechnic College,Lanzhou 730050,China; 2.Lingnan College,Sun Yat-set University,Guangzhou 510275,China) |
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| Abstract: | The concepts of L(t)-quasi-upper and lower solutions are introduced for the infinite boundary value problem of the impulsive differential equations in Banach space X.Under some suitable conditions,by using the monotone iteration sequence with L(t)-quasi-upper and lower solutions,the existence of the minimal and maximal L(t)-quasi-solutions of the porblem and the solution for the problem between them is proved. |
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| Keywords: | normal cone impulsive differential equation L(t)-quasi-upper and lower solutions infinite boundary value problem monotone iterative technique |
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