| Banach空间二阶脉冲积-微分方程三点边值问题 |
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| 引用本文： | 戚仕硕,王建国.Banach空间二阶脉冲积-微分方程三点边值问题[J].数学学报,2003,46(6):1189-119. |
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| 作者姓名： | 戚仕硕 王建国 |
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| 作者单位： | 1. 郑州大学数学系,郑州,450052
2. 山东教育学院数学系,济南,250013 |
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| 基金项目： | 郑州大学青年骨干教师基金资助项目 |
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| 摘 要： | 本文研究了Banach空间中两类具有一端点值固定边界条件的二阶脉冲积- 微分方程三点边值问题解的存在性,并且获得了完全不同的先验估计.
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| 关 键 词： | 脉冲积-微分方程 三点边值问题 严格集压缩映象 |
| 文章编号： | 0583-1431(2003)06-1189-10 |
| 修稿时间： | 2001年3月14日 |
Three-Point Boundary Value Problems for Impulsive Integro-Differential Equations in Banach Spaces |
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| Shi Shuo QI.Three-Point Boundary Value Problems for Impulsive Integro-Differential Equations in Banach Spaces[J].Acta Mathematica Sinica,2003,46(6):1189-119. |
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| Authors: | Shi Shuo QI |
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| Institution: | Shi Shuo QI
(Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China)
(E-mail: ssqi@zzu.edu.cn)
Jian Guo WANG (Department of Mathematics, Shandong Education College, Jinan 250013, P. R. China) |
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| Abstract: | The present paper investigates the existence of solutions, with their values fixed at one end point, of two classes of three-point boundary value problems for the second order impulsive integro-differential equations in Banach spaces, and the a priori estimates obtained in both of the two cases are completely different. |
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| Keywords: | Impulsive integro-differential equation Three-point boundary value problem Strict-set contraction |
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