| 具有混合单调性的脉冲微分方程解的存在性 |
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| 引用本文： | 李丽香,张玲玲.具有混合单调性的脉冲微分方程解的存在性[J].数学的实践与认识,2013,43(4):259-264. |
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| 作者姓名： | 李丽香 张玲玲 |
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| 作者单位： | 太原理工大学数学学院,山西太原,030024 |
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| 摘 要： | 利用混合单调算子的不动点定理,讨论了一类二阶脉冲微分方程两点边值问题,得到了存在唯一正解的充分条件,此外给出了相应的例子.
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| 关 键 词： | 正解 混合单调 脉冲微分方程 不动点定理 |
Existence of Positive Solution for Impulsive Differential Equations with Mixed Monotonicity |
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| LI Li-xiang
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ZHANG Ling-ling.Existence of Positive Solution for Impulsive Differential Equations with Mixed Monotonicity[J].Mathematics in Practice and Theory,2013,43(4):259-264. |
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| Authors: | LI Li-xiang ZHANG Ling-ling |
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| Institution: | (College of Mathematics,Taiyuan University of technology,Taiyuan 030024,China) |
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| Abstract: | In this paper,by a fixed point theorem of mixed monotone operator,we investigate a class of second-order two-point boundary value problems for impulsive differential equations.A sufficient condition for the existence and uniqueness of positive solution is established.Moreover,we give an example of the main result. |
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| Keywords: | Positive solution mixed monotone impulsive differential equation fixed point theorem |
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