| Banach空间中N阶脉冲积分-微分方程边值问题的解 |
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| 引用本文： | 秦宝侠,陈燕来.Banach空间中N阶脉冲积分-微分方程边值问题的解[J].应用泛函分析学报,2008,10(3):264-274. |
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| 作者姓名： | 秦宝侠 陈燕来 |
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| 作者单位： | 1. 徐州师范大学数学系,徐州,221116
2. 山东大学经济学院,济南,250100 |
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| 摘 要： | 运用Monch不动点定理，获得了Banach空间中一类N阶非线性混合型脉冲积分-微分方程边值问题解的存在性．最后给出一个三阶无穷脉冲积分-微分方程边值问题的例子来说明文中所给的条件是合理的．
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| 关 键 词： | 脉冲积分-微分方程 非紧性测度 边值问题 Monch不动点定理 |
Existence of Solutions for Boundary Value Problem of a Class of N-th Order Nonlinear Impulsive Integro-Differential Equations in Banach Spaces |
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| QIN Bao-xia,CHEN Yan-lai.Existence of Solutions for Boundary Value Problem of a Class of N-th Order Nonlinear Impulsive Integro-Differential Equations in Banach Spaces[J].Acta Analysis Functionalis Applicata,2008,10(3):264-274. |
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| Authors: | QIN Bao-xia CHEN Yan-lai |
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| Institution: | QIN Bao-xia, CHEN Yan-lai(1. Departmant of Mathematics, Xuzhou Normal Unicersity, Xuzhou 221116, China; 2. School of Economics, Shandong University, di＇nan 250100, China) |
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| Abstract: | By using the Monch fixed-point theorem, the existence of solutions of the boundary value problems for nth order nonlinear impulsive integro-differential equations in Banach spaces is obtained. Finally, an example for infinite system of scalar third order impulsive integro-differential equations is offered. |
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| Keywords: | relatively compact impulsive integro-differential equations boundary value problem Monch fixed-point theorem measure of noncompactness |
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