| Banach空间中二阶脉冲微分—积分方程无穷边值问题 |
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| 引用本文： | 李宝麟,樊瑞宁. Banach空间中二阶脉冲微分—积分方程无穷边值问题[J]. 甘肃科学学报, 2010, 22(1): 43-46 |
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| 作者姓名： | 李宝麟 樊瑞宁 |
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| 作者单位： | 1. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070
2. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070;兰州商学院,信息工程学院,甘肃,兰州,730020 |
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| 摘 要： | 建立了一个新的比较定理,运用单调迭代技术给出了Banach空间中含无穷多个跳跃点的二阶脉冲积分—微分方程无穷边值问题在任意闭区间上最大最小解的存在性.
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| 关 键 词： | 无穷边值问题 脉冲积分-微分方程 上下解方法 单调迭代技术 |
Infinite Boundary Value Problems for Impulsive Integro-differential Equation in Banach Spaces |
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| LI Bao-lin,FAN Rui-ning. Infinite Boundary Value Problems for Impulsive Integro-differential Equation in Banach Spaces[J]. Journal of Gansu Sciences, 2010, 22(1): 43-46 |
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| Authors: | LI Bao-lin FAN Rui-ning |
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| Affiliation: | 1.College of Mathematics and Information Science;Northwest Normal University;Lanzhou 730070;China;2.School of Information Engineering;Lanzhou Commercial College;Lanzhou 730020;China |
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| Abstract: | By establishing a new comparison theorem and using the monotone iterative technique,the existence of maximal and minimal solutions is investigated on an arbitrary finite interval of infinite boundary value problems for impulsive integro-differential equation with infinite skip points in a Banach space. |
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| Keywords: | infinite boundary value problem impulsive integro-differential equation upper and lower solutions monotone iterative technique |
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