| Banach空间中一阶非线性脉冲积分-微分方程初值问题解的存在性 |
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| 引用本文： | 于立新,刘立山. Banach空间中一阶非线性脉冲积分-微分方程初值问题解的存在性[J]. 系统科学与数学, 2003, 23(2): 257-265 |
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| 作者姓名： | 于立新 刘立山 |
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| 作者单位： | 曲阜师范大学数学系,曲阜,273165 |
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| 基金项目： | 国家自然科学基金(19871048)和山东省自然科学基金(Z2000A02,02BS119)资助课题. |
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| 摘 要： | 利用一个新的比较结果和Monch不动点定理,证明了实Banach空间中一阶非线性脉冲微分-积分方程初值问题解的存在性定理,对已有的结果作了推广和改进.
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| 关 键 词： | 脉冲方程 初值问题 非紧性测度. |
| 修稿时间： | 2000-05-30 |
THE EXISTENCE OF SOLUTIONS OF INITIAL VALUE PROBLEMS FOR FIRST ORDER NONLINEAR IMPULSIVE INTEGRO-DIFFERNETIAL EQUATION IN BANACH SPACE |
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| Li Xin YU,Li Shan LIU. THE EXISTENCE OF SOLUTIONS OF INITIAL VALUE PROBLEMS FOR FIRST ORDER NONLINEAR IMPULSIVE INTEGRO-DIFFERNETIAL EQUATION IN BANACH SPACE[J]. Journal of Systems Science and Mathematical Sciences, 2003, 23(2): 257-265 |
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| Authors: | Li Xin YU Li Shan LIU |
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| Affiliation: | Department of Mathematics, Qufu Normal University, Qufu 273165,P.R.China |
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| Abstract: | In this paper, we use a new comparison result and the Monch fixed point theorem to prove some existence theorems of solutions of initial value problem for the first order nonlinear impulsive integro-differential equations in Banach space that improved and generalized the result obtained by others. |
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| Keywords: | Impulsive equations initial value problem measure of noncompactness. |
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