| 一阶非线性脉冲边值问题解的存在性 |
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| 引用本文： | 董士杰,刘立红.一阶非线性脉冲边值问题解的存在性[J].军械工程学院学报,2008,20(2):69-71. |
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| 作者姓名： | 董士杰 刘立红 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 基金项目： | 项目来源：国家自然科学基金项目（10671209） |
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| 摘 要： | 研究一阶非线性脉冲周期边值问题，应用微分不等式和Schaefer不动点定理，得到了脉冲边值问题解存在的充分性判据，并给出了相应的Green函数。
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| 关 键 词： | 周期边值问题 脉冲微分方程 不动点定理 解 |
Existence of Solutions for a First-Order Nonlinear Boundary Value Problem with Impulses |
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| DONG Shi-jie,LIU Li-hong.Existence of Solutions for a First-Order Nonlinear Boundary Value Problem with Impulses[J].Journal of Ordnance Engineering College,2008,20(2):69-71. |
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| Authors: | DONG Shi-jie LIU Li-hong |
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| Institution: | ( Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China) |
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| Abstract: | In this paper, a first-order nonlinear boundary value problem with impulses is studied. By using differential inequalities and Schaefer＇ s fixed point theorem, we obtain the existence result of solution to the impulsive boundary value problem, the associated Green＇ s function for the above is also given. |
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| Keywords: | periodic boundary value problem impulsive differential equation fixed point theorem solution |
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