| 大型非线性偏泛函微分方程的不变集和吸引性 |
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| 引用本文： | 周小平,卫星. 大型非线性偏泛函微分方程的不变集和吸引性[J]. 四川师范大学学报(自然科学版), 2008, 31(6) |
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| 作者姓名： | 周小平 卫星 |
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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： | 四川省人事厅学术和技术带头人培养基金 |
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| 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.
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| 关 键 词： | 不变集 吸引性 大型系统 非线性 偏泛函微分方程 |
Invariant Set and Attraction of Large Nonlinear Partial Functional Differential Equations |
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| ZHOU Xiao-ping,WEI Xing. Invariant Set and Attraction of Large Nonlinear Partial Functional Differential Equations[J]. Journal of Sichuan Normal University(Natural Science), 2008, 31(6) |
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| Authors: | ZHOU Xiao-ping WEI Xing |
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| Abstract: | 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. |
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| Keywords: | Invariant set Attraction Large system Nonlinear Partial functional differential equations |
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