| Banach空间中n阶非线性脉冲积分-微分方程的边值问题 |
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| 引用本文： | 刘转转,刘茂省,韩伟. Banach空间中n阶非线性脉冲积分-微分方程的边值问题[J]. 陕西科技大学学报, 2012, 0(2): 100-104,109 |
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| 作者姓名： | 刘转转 刘茂省 韩伟 |
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| 作者单位： | 中北大学理学院数学系 |
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| 基金项目： | 国家自然科学基金(10901145);山西省自然科学基金(2010011002-1);山西省青年科学基金(2010021001-2) |
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| 摘 要： | 利用非紧性测度和Mnch不动点定理得到了一类高阶非线性脉冲积分-微分方程无穷边值问题解的存在性.首先是将其转化成与之等价的积分方程,进而转化为算子不动点问题,然后通过更为精确的非紧性测度的分析,利用Mnch不动点定理证明了方程解的存在性.
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| 关 键 词： | Banach空间 脉冲积分-微分方程 边值问题 非紧性测度 Mnch不动点定理 |
Boundary Value Problem on the Nth-order Nonlinear Impulsive Integro-differential Equations in Banach Spaces |
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| LIU Zhuan-zhuan,LIU Mao-xing,HAN Wei. Boundary Value Problem on the Nth-order Nonlinear Impulsive Integro-differential Equations in Banach Spaces[J]. Journal of Shaanxi University of Science & Technology(Natural Science Edition), 2012, 0(2): 100-104,109 |
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| Authors: | LIU Zhuan-zhuan LIU Mao-xing HAN Wei |
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| Affiliation: | (College of Science,North University of China,Taiyuan 030051,China) |
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| Abstract: | In this paper,by means of transforming the integro-differential equations into a integral equation,using the measure of noncompactness and Mnch fixed point theorem,the existence of a solution for a boundary value problem on the nth-order nonlinear impulsive integro-differential equations on unbounded domains in a Banach space is obtained. |
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| Keywords: | Banach space impulsive integro-differential equation boundary value problem measure of noncompactness fixed point theorem |
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