| 一类时滞偏微分方程的不变集与全局吸引性 |
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| 引用本文： | 王毅,李树勇. 一类时滞偏微分方程的不变集与全局吸引性[J]. 四川师范大学学报(自然科学版), 2009, 32(2) |
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| 作者姓名： | 王毅 李树勇 |
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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;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： | 国家自然科学基金，四川省人事厅学术和技术带头人培养基金 |
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| 摘 要： | 讨论了一类时滞偏微分方程的Cauchy问题,利用非负矩阵的性质和微分不等式技巧,得到其不变集存在性和全局吸引性的充分条件.
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| 关 键 词： | 不变集 全局吸引性 时滞偏微分方程 |
Invariant Set and Global Attractivity of a Class of Partial Differential Equations with Time Delay |
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| WANG Yi,LI Shu-yong. Invariant Set and Global Attractivity of a Class of Partial Differential Equations with Time Delay[J]. Journal of Sichuan Normal University(Natural Science), 2009, 32(2) |
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| Authors: | WANG Yi LI Shu-yong |
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| Affiliation: | College of Mathematics and Software Science;Sichuan Normal University;Chengdu 610066;Sichuan |
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| Abstract: | Several new sufficient conditions for the invariant set and global attractivity of Cauchy problem of a class of partial differential equations with time delays are obtained by using the properties of nonnegative matrices and the differential inequality technique. |
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| Keywords: | Invariant set Global attractivity Partial differential equations with time delay |
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