| 无穷时滞的一阶脉冲偏中立型泛函微分方程积分解的存在唯一性 |
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| 引用本文： | 李文胜,赵治汉,常永奎. 无穷时滞的一阶脉冲偏中立型泛函微分方程积分解的存在唯一性[J]. 烟台师范学院学报(自然科学版), 2009, 0(3): 197-200 |
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| 作者姓名： | 李文胜 赵治汉 常永奎 |
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| 作者单位： | 兰州交通大学数学系,兰州730070 |
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| 基金项目： | 基金项目：数学天元基金（10826063）,甘肃省教育厅科研项目（20868）,兰州交通大学青蓝人才工程项目（QL-05-16A） |
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| 摘 要： | 利用积分半群算子理论结合Banach压缩映射原理，证明了一类无穷时滞的一阶中立型脉冲偏泛函微分方程积分解的存在唯一性和连续依赖性．
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| 关 键 词： | 脉冲微分方程 中立型微分方程 无穷时滞 积分半群 |
Existence and Uniqueness of Integral Solutions of First Order Impulsive Partial Neutral Functional Differential Equations with Infinite Delay |
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| LI Wen-sheng,ZHAO Zhi-han,CHANG Yong-kui. Existence and Uniqueness of Integral Solutions of First Order Impulsive Partial Neutral Functional Differential Equations with Infinite Delay[J]. Yantai Teachers University journal(Natural Science Edition), 2009, 0(3): 197-200 |
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| Authors: | LI Wen-sheng ZHAO Zhi-han CHANG Yong-kui |
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| Affiliation: | ( Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China) |
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| Abstract: | Based upon theories of integrated semigroups and Banach＇s contraction mapping principle, existence and uniqueness of integral solutions of first order impulsive partial neutral functional differential equations with infinite delay are proved, and its continuous dependence is also discussed. |
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| Keywords: | impulsive differential equation neutral differential equation infinite delay integrated semigroup |
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