| Banach空间中一阶脉冲微分方程初值问题解的单调迭代方法 |
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| 引用本文： | 秦丽娟.Banach空间中一阶脉冲微分方程初值问题解的单调迭代方法[J].甘肃科学学报,2011,23(1):1-5. |
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| 作者姓名： | 秦丽娟 |
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| 作者单位： | 甘肃农业大学理学院,甘肃,兰州,730070 |
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| 摘 要： | 在不假定f满足非紧性测度及上下解存在的情形下,运用单调迭代方法,讨论了无穷区间上一阶脉冲微分方程初值问题解的存在性与正解的存在唯一性,对脉冲函数没有加任何单调性结果,改进了已有的结果.
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| 关 键 词： | Banach空间 初值问题 单调迭代 正解 |
The Monotone Iterative Method of the Initial Value Problems for Impulsive Equations in Banach Space |
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| QIN Li-juan.The Monotone Iterative Method of the Initial Value Problems for Impulsive Equations in Banach Space[J].Journal of Gansu Sciences,2011,23(1):1-5. |
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| Authors: | QIN Li-juan |
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| Institution: | QIN Li-juan(College of Sciences,Gansu University of Agriculture,Lanzhou 730070,China) |
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| Abstract: | Neither using noncompactness measure condition,nor assuming the existence of upper and lower solutions,the author discusses the existence and uniqueness of positive solutions on infinite interval by way of monotone method for first-order impulsive equations.In this process,the author improves the results without assumption of monotonicity on impulsive functions. |
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| Keywords: | Banach spaces initial value problems monotone iterative positive solution |
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