| Banach空间不连续脉冲微分-积分方程的周期边值问题 |
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| 引用本文： | 刘笑颖,吴从炘.Banach空间不连续脉冲微分-积分方程的周期边值问题[J].系统科学与数学,2003,23(3):374-380. |
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| 作者姓名： | 刘笑颖 吴从炘 |
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| 作者单位： | 1. 徐州师范大学数学系,徐州,221009
2. 哈尔滨工业大学数学系,哈尔滨,150001 |
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| 摘 要： | 本文讨论了Banach空间含间断项的一阶混合型脉冲微分-积分方程的周期边值问题,通过建立一个比较定理,应用不动点定理与上、下解方法证明了最大解、最小解及迭代解的存在性,推广改进了某些文献中的相应结果。
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| 关 键 词： | 周期边值问题 不连续脉冲微分-积分方程 序Banach空间 上、下解 |
| 修稿时间： | 2000年10月23 |
PERIODIC BOUNDARY VALUE PROBLEMS FOR DISCONTINUOUS IMPULSIVE INTEGRO- DIFFERENTIAL EQUATIONS IN BANACH SPACES |
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| Xiao Ying LIU,Cong Xin WU.PERIODIC BOUNDARY VALUE PROBLEMS FOR DISCONTINUOUS IMPULSIVE INTEGRO- DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Journal of Systems Science and Mathematical Sciences,2003,23(3):374-380. |
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| Authors: | Xiao Ying LIU Cong Xin WU |
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| Institution: | (1)Department of Mathematics, Xuzhou Normal University, Xuzhou 221009,P.R.China;(2)Dept.of Math.,Harbin Inst.of Technology,Harbin 150001,P.R.China |
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| Abstract: | In this paper, the periodic boundary value problem for first order discontinuous impulsive integro-differential equations of mixed type in Banach spaces is investigated. By establishing a comparison theorem and using a fixed point theorem, the existence of maximal and minimal solutions and the successive approximation of solutions are proved. These generalize and improve the corresponding results in some well-known papers. |
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| Keywords: | Periodic boundary value problem discontinuous impulsive integro- differential equation ordered Banach space upper and lower solutions |
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