| 一类积分方程的全局吸引集 |
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| 引用本文： | 向丽,滕玲莹. 一类积分方程的全局吸引集[J]. 四川师范大学学报(自然科学版), 2012, 35(3): 327-330 |
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| 作者姓名： | 向丽 滕玲莹 |
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| 作者单位： | 1. 中国民航飞行学院计算机学院,四川广汉,618307
2. 西南民族大学 计算机科学与技术学院,四川成都,610041 |
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| 摘 要： | 通过建立一个新的向量积分不等式,结合非负矩阵的性质,获得了一类具有时滞的非线性积分方程存在全局吸引集的便于验证的充分条件,并获得了零解渐近稳定的充分条件,丰富了对于非线性差分系统吸引集的研究结果,建立的积分不等式还可用于其它系统吸引集和不变集的研究.
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| 关 键 词： | 吸引集 积分方程 非负矩阵 |
Global Attracting Sets for a Class of Integral Equations |
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| XIANG Li , TENG Ling-ying. Global Attracting Sets for a Class of Integral Equations[J]. Journal of Sichuan Normal University(Natural Science), 2012, 35(3): 327-330 |
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| Authors: | XIANG Li TENG Ling-ying |
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| Affiliation: | 1.College of Computer Science,Civil Aviation Flight College of China,Guanghan 618307,Sichuan; 2.College of Computer Science and Technology,Southwest University for Nationalities,Chengdu 610041,Sichuan) |
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| Abstract: | In this paper,a new integral inequality is established by using both the properties of nonnegative matrices and the technques of integral inequalities,the sufficient conditions for the global attracting set of a class of nonlinear integral equations with delay to exist are obtained.Moreover,the sufficient condition for the equilibrium to be globally asymptotic stable is also obtained. |
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| Keywords: | attracting set integral equations nonnegative matrix |
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