| 含时滞的线性偏泛函微分方程解的渐近行为 |
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| 引用本文： | 刘永清 谢胜利. 含时滞的线性偏泛函微分方程解的渐近行为[J]. 数学杂志, 1996, 16(3): 357-362 |
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| 作者姓名： | 刘永清 谢胜利 |
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| 作者单位： | 华南理工大学 |
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| 基金项目： | 国家自然科学基金资助项目 |
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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解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Ｌ—ｐ—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： | 稳定性 振动性 偏泛函微分方程 解 渐近行为 |
ASYMPTOTIC BEHAVIOUR OF SOLUTION FOR LINEAR PARTIALFUNCTIONAL DIFFERENTIAL WITH DELAY |
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| Liu Yongqing Xie Shengli. ASYMPTOTIC BEHAVIOUR OF SOLUTION FOR LINEAR PARTIALFUNCTIONAL DIFFERENTIAL WITH DELAY[J]. Journal of Mathematics, 1996, 16(3): 357-362 |
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| Authors: | Liu Yongqing Xie Shengli |
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| Abstract: | In this paper, the asymptotic behaviour of solution for linear partial functional differential with delay is discussed, and the sufficient conditions of the global stability and Oscillation of the solution are given by the methods of Liapunov functional and L p estimate. |
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| Keywords: | Partial functional differential equation asymptotic behaviour stability oscillation. |
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