| 一类具有时滞的抛物系统解的渐近行为 |
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| 引用本文： | 李平玉,谢胜利. 一类具有时滞的抛物系统解的渐近行为[J]. 长江大学学报(社会科学版), 1995, 0(2) |
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| 作者姓名： | 李平玉 谢胜利 |
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| 摘 要： | 本文对一类含有时滞的抛物偏泛函微分方程的渐近行为进行了讨论。分别就两种不同的边界条件，采用Ｌｉａｐｕｎｏｖ泛函及Ｌｐ—估计，获得了其解全局稳定、振动的若干简洁充分条件。
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| 关 键 词： | 时滞 抛物系统 稳定性 振动性 |
ASYMPTOTIC BEHAVIOUR OF SOLUTION FOR PARABOLIC SYSTEM WITH DELAY |
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| Li Pingyu Xie Shengli. ASYMPTOTIC BEHAVIOUR OF SOLUTION FOR PARABOLIC SYSTEM WITH DELAY[J]. Journal of Yangtze University(Social Sciences), 1995, 0(2) |
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| Authors: | Li Pingyu Xie Shengli |
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| Affiliation: | Research Institute of Applied Mathematics |
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| Abstract: | In this paper, the asymptotic behaviour of solution for parabolic system with delay is discussed, and the sufficient conditions of the global stability and oscillation of the solution are given using the methods of Liapunov functional. |
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| Keywords: | parabolic system stability oscillation delay |
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