| 一阶脉冲方程的初值问题 |
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| 引用本文： | 王双,梅月兰. 一阶脉冲方程的初值问题[J]. 荆门职业技术学院学报, 2010, 25(2): 32-34,43 |
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| 作者姓名： | 王双 梅月兰 |
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| 作者单位： | 湖北师范学院数学与统计学院;云南大学数学系; |
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| 基金项目： | 湖北省教育厅自然科学基金项目(项目编号:D200722002) |
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| 摘 要： | 利用混合单调迭代工具讨论了一阶脉冲方程初值问题最大最小拟解的存在性，并证明了必存在单调迭代序列{un（t）}，{vn（t）}，分别在J上一致收敛于u＊（I）和v＊（t）。所得结果推广了目前一阶脉冲方程初值问题的相关结论。
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| 关 键 词： | 混合单调迭代 最大最小拟解 一阶脉冲方程 |
An Initial-value Problem for First-order Impulsive Equations |
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| WANG Shuang,MEI Yue-lan. An Initial-value Problem for First-order Impulsive Equations[J]. Journal of Jingmen Vocational Technical College, 2010, 25(2): 32-34,43 |
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| Authors: | WANG Shuang MEI Yue-lan |
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| Affiliation: | 1 College of Mathematics and Satistics;Hubei Normal University;Huangshi;Hubei;435002;China;2 Department of Mathematics;Yunnan University;Kunming;Yunnan;650091;China |
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| Abstract: | By means of mixed monotone iterative technique, the paper investigated the existing results for pseudo -maximal and minimal solutions of a initial value problem for first - order impulsive equations and proved that it must have monotone iteration sequences,which converged uniformly to u ＊ （t） and v ＊ （t） in J, respectively. The results extend the corresponding results of an initial value problem for first - order impulsive equations. |
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| Keywords: | mixed monotone iterative pseudo-maximal and minimal solution first-order impulsive equations |
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