| 一阶脉冲微分方程边值问题的解 |
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| 引用本文： | 孙玉虎,王东兴. 一阶脉冲微分方程边值问题的解[J]. 淮海工学院学报, 2012, 0(2): 4-8 |
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| 作者姓名： | 孙玉虎 王东兴 |
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| 作者单位： | 中国矿业大学徐海学院．江苏徐州221008 |
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| 摘 要： | 结合当前非线性泛函分析中的研究热点——脉冲微分方程边值问题，讨论了两类一阶脉冲微分方程边值解存在性问题．主要利用算子理论、Leary—Schauder拓扑度理论方法得出两类微分方程边值解的存在性定理，最后通过实例来验证所得结论在研究脉冲方程中的有效应用．
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| 关 键 词： | 脉冲微分方程 Leray-Schauder度定理 边值问题 |
Solutions to Boundary Value Problems in First-order Impulsive Differential Equations |
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| SUN Yu-hu,WANG Dong-xing. Solutions to Boundary Value Problems in First-order Impulsive Differential Equations[J]. Journal of Huaihai Institute of Technology:Natural Sciences Edition, 2012, 0(2): 4-8 |
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| Authors: | SUN Yu-hu WANG Dong-xing |
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| Affiliation: | (College of Xuhai, China University of Mining and Technology, Xuzhou 221008, China) |
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| Abstract: | The value problem in impulsive differential equations is a hot issue in researches on nonlinear functional analysis. We used the operator theory and the Leary-Schauder theory to study the existence of two types of solutions for the boundary value problems in first-order impul- sive differential equations. And we used an example to verify the effectiveness of the application of the conclusion in pulsed equations. |
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| Keywords: | impulsive differential equation Leary-Schauder theory boundary value problem. |
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