| 线性Volterra积分微分方程解的稳定性与有界性 |
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| 引用本文： | 李雅烽,安薇.线性Volterra积分微分方程解的稳定性与有界性[J].河南师范大学学报(自然科学版),2003,31(4):24-28. |
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| 作者姓名： | 李雅烽 安薇 |
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| 作者单位： | 济南教育学院,山东,济南,250001 |
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| 摘 要： | 通过构造非正定的、导数非负的Liapunov泛函，得到一些保证线性Volterra积分微分方程解的稳定性与有界性的充分条件，推广了献1～2]中相应的结果．
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| 关 键 词： | 线性Volterra积分微分方程 解 稳定性 有界性 Liapunov泛函 |
| 文章编号： | 1000-2367(2003)04-0024-05 |
| 修稿时间： | 2003年4月13日 |
Stability and boundedness of solutions of linear Volterra integro-differential equation |
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| LI Ya-feng,AN Wei.Stability and boundedness of solutions of linear Volterra integro-differential equation[J].Journal of Henan Normal University(Natural Science),2003,31(4):24-28. |
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| Authors: | LI Ya-feng AN Wei |
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| Abstract: | By means of constructing non-positive definite Liapunov's functional, whose derivative is not negative definite , we obtain some sufficient conditions of stability and boundedness of linear Volterra integro-differential equation and improve some results in 1] and 2]. |
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| Keywords: | linear Volterra integro-differential equation stability boundedness |
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