| Banach空间中二阶非线性脉冲积分—微分方程的初值问题 |
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| 引用本文： | 孙金丽. Banach空间中二阶非线性脉冲积分—微分方程的初值问题[J]. 徐州师范大学学报(自然科学版), 2000, 18(2): 5-9 |
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| 作者姓名： | 孙金丽 |
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| 作者单位： | 徐州师范大学数学系,江苏徐州 221009 |
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| 摘 要： | 讨论脉冲为非线性形式的二阶脉冲积分－微分方程的初值问题。利用单调迭代技巧、锥理论和上下解方法，得到了最小解与最大解的存在性及迭代逼近定理。它推广了脉冲为线性形式的相应结果。
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| 关 键 词： | 脉冲积分－微分方程 初值问题 巴拿赫空间 非线性 |
| 文章编号： | 1007-6573(2000)02-0005-05 |
| 修稿时间： | 1999-07-22 |
Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces |
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| SUN Jin li. Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2000, 18(2): 5-9 |
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| Authors: | SUN Jin li |
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| Abstract: | This paper discusses the initial value problem for second order impulsive integro differential equations with nonlinear impulse. An existence and iterative approximating theorem of the minimal and maximal solutions is obtained by applying the monotone iterative technique, the cone theory and the low upper solution method which generalizes the related results in the case of linear impulse. |
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| Keywords: | impulsive integro differential equation initial value problem contraction mapping cone |
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