| 一阶脉冲泛函微分方程反周期边值问题 |
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| 引用本文： | 姚美萍,赵爱民. 一阶脉冲泛函微分方程反周期边值问题[J]. 山西大学学报(自然科学版), 2009, 32(2) |
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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： | 国家自然科学基金，山西省自然科学基金，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反周期边值问题,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,所得结果改进了[Appl.Math.Comput.2007,186,45-53]的相关结果.
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| 关 键 词： | 脉冲泛函微分方程 反周期边值问题 耦合解 单调迭代技术 |
Anti-periodic Boundary Value Problems of First-order Impulsive Functional Differential Equations |
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| YAO Mei-ping,ZHAO Ai-min. Anti-periodic Boundary Value Problems of First-order Impulsive Functional Differential Equations[J]. Journal of Shanxi University (Natural Science Edit, 2009, 32(2) |
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| Authors: | YAO Mei-ping ZHAO Ai-min |
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| Affiliation: | YAO Mei-ping,ZHAO Ai-min(School of Mathematical Science,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | Anti-periodic boundary value problems of first-order impulsive functional differential equations are considered.Existence of couple solutions and unique solution is obtained by using the method of upper and lower solutions coupled with monotone iterative technique.The results improve the corresponding reults of the literature[Appl.Math.Comput.2007,186,45-53]. |
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| Keywords: | impulsive functional differential equations anti-periodic boundary value problems couple solution monotone iterative technique |
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