大型非线性偏泛函微分方程的不变集和吸引性  

Invariant Set and Attraction of Large Nonlinear Partial Functional Differential Equations

作　　者：周小平[1] 卫星[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2008年第6期649-653,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省人事厅学术带头人培养基金(1200311)资助项目

摘　　要：对一类大型非线性偏泛函微分方程的渐近行为进行研究,利用非负矩阵性质和适当的分析技巧,建立了判断其不变集和吸引性的充分条件.In this paper, the asymptotic behavior of a class of large nonlinear partial functional differential equations is studied. Several sufficient conditions for judgement of the invariant set and the attraction for the equations are obtained by using the properties of nonnegative matrices and some analytical methods.

关 键 词：不变集 吸引性 大型系统 非线性 偏泛函微分方程 

分 类 号：O175.7[理学—数学]