| 增算子不动点定理及其对含间断项非线性脉冲方程的应用 |
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| 引用本文： | 张金清.增算子不动点定理及其对含间断项非线性脉冲方程的应用[J].数学学报,2002,45(6):1087-109. |
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| 作者姓名： | 张金清 |
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| 作者单位： | 山东财政学院应用数学系,山东,济南,250014;复旦大学金融研究院,上海,200433 |
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| 基金项目： | 国家自然科学基金资助项目（19671052），教育部人文社会科学研究研究规划基金（01JS790068）资助项目 |
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| 摘 要： | 设E是Banach空间,本文在比CI,E]更一般的Banach空间中得到了几个新的非连续增算子不动点定理.作为应用,我们研究了Banach空间中含间断项的非线性脉冲积分方程和微分方程的最大解和最小解的存在性.
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| 关 键 词： | 不动点 间断项 脉冲积分方程 脉冲微分方程 |
| 文章编号： | 0583-1431(2002)06-1087-12 |
| 修稿时间： | 2001年3月7日 |
Fixed Point Theorems for Increasing Operators and Applications to Nonlinear Impulsive Equations with Discontinuous Terms |
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| Jin Qing ZHANG.Fixed Point Theorems for Increasing Operators and Applications to Nonlinear Impulsive Equations with Discontinuous Terms[J].Acta Mathematica Sinica,2002,45(6):1087-109. |
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| Authors: | Jin Qing ZHANG |
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| Institution: | Jin Qing ZHANG(Institute for Financial Studies, Fudan University, Shanghai 200433, P. R. China) (Department of Applied Mathematics, Shandong Finance Institute, Jinan 250014, P. R. China) |
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| Abstract: | Abstract In this paper, we obtain several new fixed point theorems for discontinuous increasing operators in a wider Banach space than CI, E] for a Banach space E. As applications, we investigate the existence of maximal and minimal solutions of nonlinear impulsive integral equations and differential equations with discontinuous terms in Banach spaces. |
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| Keywords: | Fixed points Discontinuous terms Impulsive integral equations Impulsive differential equations |
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