| 一类中立型脉冲微分方程温和解的存在唯一性 |
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| 引用本文： | 李文胜,王建国,路亚朋.一类中立型脉冲微分方程温和解的存在唯一性[J].黑龙江科技学院学报,2009,19(4):318-320. |
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| 作者姓名： | 李文胜 王建国 路亚朋 |
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| 作者单位： | 兰州交通大学,数理与软件工程学院,兰州,730070 |
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| 摘 要： | 文中主要考虑一类无穷时滞的中立型脉冲泛函微分方程的温和解的存在唯一性,将其转化为积分方程并用Banach压缩映射原理证明温和解的存在性,然后,再考虑温和解的唯一性和解对初值的连续依赖性。
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| 关 键 词： | 脉冲微分方程 发展系统 中立型微分方程 温和解 |
Existence and uniqueness for impulsive neutral differential equations with infinite delay |
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| LI Wensheng,WANG Jianguo,LU Yapeng.Existence and uniqueness for impulsive neutral differential equations with infinite delay[J].Journal of Heilongjiang Institute of Science and Technology,2009,19(4):318-320. |
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| Authors: | LI Wensheng WANG Jianguo LU Yapeng |
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| Institution: | (School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China) |
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| Abstract: | This paper is concerned with existence and uniqueness of solution for impulsive neutral functional differential equations of first order and densely definition.The paper introduces transformation of them into integral equations and the use of Banach contraction mapping theorem to prove the existence of the mild solution.It follows that the uniqueness of mild solution and the continuous dependence on initial value are considered. |
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| Keywords: | impulsive differential equation evolution systems neutral differential equations mild solutions |
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