| 一阶脉冲泛函微分方程非线性边值问题 |
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| 引用本文： | 姚美萍,赵爱民.一阶脉冲泛函微分方程非线性边值问题[J].数学的实践与认识,2009,39(12). |
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| 作者姓名： | 姚美萍 赵爱民 |
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| 作者单位： | 山西大学,数学科学学院,山西,太原,030006 |
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| 基金项目： | 山西省自然科学基金，数学天元青年基金，山西大学青年科技基金 |
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| 摘 要： | 考虑一阶脉冲泛函微分方程非线性边值问题,利用上下解方法和单调迭代技术得到了耦合解和唯一解存在的充分条件.所得结果改进和推广了文献的相关结果.
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| 关 键 词： | 脉冲泛函微分方程 非线性边值问题 耦合解 单调迭代技术 |
Nonlinear Boundary Value Problems of First-order Impulsive Functional Differential Equations |
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| YAO Mei-ping,ZHAO Ai-min.Nonlinear Boundary Value Problems of First-order Impulsive Functional Differential Equations[J].Mathematics in Practice and Theory,2009,39(12). |
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| Authors: | YAO Mei-ping ZHAO Ai-min |
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| Abstract: | Consider nonlinear boundary value problems of first-order impulsive functional differential equations.By using the method of upper and lower solutions coupled with monotone iterative technique,existence of couple solutions and unique solution are obtained.The results improve the corresponding results of the literature. |
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| Keywords: | impulsive functional differential equations nonlinear boundary value problems couple solutions monotone iterative technique |
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