| Banach空间含间断项的二阶非线性脉冲微分方程终值问题 |
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| 引用本文： | 鲍龙生,戴斌祥.Banach空间含间断项的二阶非线性脉冲微分方程终值问题[J].数学理论与应用,2013(3):1-6. |
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| 作者姓名： | 鲍龙生 戴斌祥 |
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| 作者单位： | 中南大学数学与统计学院,长沙410075 |
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| 基金项目： | 国家自然科学基金（No11271371）资助项目 |
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| 摘 要： | 本文讨论了Banach空间含间断项的一类二阶非线性脉冲微分方程终值问题，应用不动点定理与上下解方法，获得了其最大解和最小解的存在性．
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| 关 键 词： | 脉冲微分方程 终值问题 上下解 |
Terminal Value Problems for Second- Order Nonlinear Impulsive Differential Equations with Discontinuous Terms in Banach Spaces |
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| Bao Longsheng Dai Binxiang.Terminal Value Problems for Second- Order Nonlinear Impulsive Differential Equations with Discontinuous Terms in Banach Spaces[J].Mathematical Theory and Applications,2013(3):1-6. |
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| Authors: | Bao Longsheng Dai Binxiang |
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| Institution: | Bao Longsheng Dai Binxiang (School of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, China) |
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| Abstract: | By using the lower and upper solution method, the terminal value problems for a kind of second - order nonlinear impulsive differential equations with discontinuous terms in Banach space are considered, and the existence of maximal and minimal solutions are obtained. |
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| Keywords: | Impulsive differential equations Terminal value problems The lower and upper solution method |
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