| 一类脉冲偏泛函微分方程在无界区域上的吸引性和不变集(英文) |
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| 引用本文： | 李树勇,周小平. 一类脉冲偏泛函微分方程在无界区域上的吸引性和不变集(英文)[J]. 四川师范大学学报(自然科学版), 2010, 33(5). DOI: 10.3969/j.issn.1001-8395.2010.05.027 |
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| 作者姓名： | 李树勇 周小平 |
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| 作者单位： | 四川师范大学数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省应用基础基金，四川省教育厅自然科学重点科研基金(08ZA044)资助项目 This work was supported by Department of Science and Technology，Scientific Research Fund of Sichuan Provincial Education Department |
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| 摘 要： | 一类脉冲偏泛函微分方程在无界区域上的吸引性被研究.首先利用基本解理论,建立了这类方程柔解的积分表达式.然后,使用非负矩阵性质和不等式分析技巧,给出判断吸引集和不变集的一些充分条件.
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| 关 键 词： | 吸引性 不变集 柔解 脉冲 偏泛函微分方程 |
Attraction and Invariant Set for Impulsive Partial Functional Differential Equations in Unbounded Domains |
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| LI Shu-yong,ZHOU Xiao-ping. Attraction and Invariant Set for Impulsive Partial Functional Differential Equations in Unbounded Domains[J]. Journal of Sichuan Normal University(Natural Science), 2010, 33(5). DOI: 10.3969/j.issn.1001-8395.2010.05.027 |
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| Authors: | LI Shu-yong ZHOU Xiao-ping |
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| Abstract: | The attraction for a nonlinear impulsive partial functional differential equation in a unbounded domain is investigated. By applying the method of fundamental solution, a variation of constants formula is established for the mild solution of the equation. By using the properties of nonnegative matrices and inequality techniques,some sufficient criteria for attracting set and invariant set are obtained. |
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| Keywords: | attraction invariant set mild solution impulsive partial functional differential equations |
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