| 二阶具分布时滞的泛函微分方程解的有界性 |
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| 引用本文： | 徐建华,江娇. 二阶具分布时滞的泛函微分方程解的有界性[J]. 工程数学学报, 2005, 22(2): 369-372 |
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| 作者姓名： | 徐建华 江娇 |
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| 作者单位： | 安徽大学数学系,合肥,230039;安徽大学数学系,合肥,230039 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 本文讨论二阶具分布时滞的泛函微分方程，利用不等式的估计得到了解的有界性比较定理。同时还运用李雅普诺夫泛函方法，给出一类二阶具分布时滞的泛函微分方程的有界性判别法则。
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| 关 键 词： | 二阶 有界性 泛函微分方程 分布时滞 |
| 文章编号： | 1005-3085(2005)02-0369-04 |
| 修稿时间： | 2003-05-30 |
The Boundedness of Solutions of Second Order Functional Differential Equations with Distributed Delay |
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| XU Jian-hua,JIANG Jiao. The Boundedness of Solutions of Second Order Functional Differential Equations with Distributed Delay[J]. Chinese Journal of Engineering Mathematics, 2005, 22(2): 369-372 |
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| Authors: | XU Jian-hua JIANG Jiao |
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| Abstract: | This paper deals with the second order functional differential equations with distributed delay. By using the inequality estimation we obtain the comparison theorem of the boundedness of solutions. At the same time, we discuss a special second order FDE with distributed delay and the criteria of the boundedness of solution is obtained by means of the Liapunov functional method. |
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| Keywords: | second order boundedness functional differential equations distributed delay |
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