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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) 被引量：3

Attraction and Invariant Set for Impulsive Partial Functional Differential Equations in Unbounded Domains
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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. 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.
作者 李树勇 周小平
机构地区 四川师范大学数学与软件科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第5期688-693,共6页 Journal of Sichuan Normal University（Natural Science）
基金 supported by Department of Science and Technology(2009JY0066) Scientific Research Fund of Sichuan Provincial Education Department(08ZA044)~~
关键词 吸引性 不变集 柔解 脉冲 偏泛函微分方程 attraction invariant set mild solution impulsive partial functional differential equations
分类号 O175.7 [理学—基础数学]
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参考文献20

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同被引文献31

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引证文献3

二级引证文献6

四川师范大学学报（自然科学版）
2010年 第5期

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