| 非线性中立抛物型泛函微分方程解的振动判据 |
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| 引用本文： | 刘安平. 非线性中立抛物型泛函微分方程解的振动判据[J]. 应用泛函分析学报, 2000, 2(4): 376-381 |
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| 作者姓名： | 刘安平 |
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| 作者单位： | 中国地质大学数理系， 湖北 武汉 430074 |
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| 摘 要： | 讨论一类多滞量中立抛物型泛函微分方程解的振动性质，获得了其一切解振动的充分条件及线性情况下的充要条件；指出了与普通抛物型偏微分方程质的差异。
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| 关 键 词： | 泛函微分方程 振动性 非线性 中立型 抛物型方程 解 |
| 文章编号： | 1009-1327 (2000) 04-0376-06 |
| 修稿时间： | 2000-06-24 |
Oscillations of the Solutions of Parabolic Partial Differential Equations of Neutral Type |
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| LIU An-ping. Oscillations of the Solutions of Parabolic Partial Differential Equations of Neutral Type[J]. Acta Analysis Functionalis Applicata, 2000, 2(4): 376-381 |
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| Authors: | LIU An-ping |
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| Abstract: | In this paper,we investigate oscillatory properties of solutions of certain parabolic partial differential equations and establish a series of sufficient conditions for oscillations of the equations.The results fully indicate thatthe oscillations are caused by delay.This is one important conclusion and hence, reveals the essential differences between the equations and those equations without delay. |
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| Keywords: | parabolic functional differential equation oscillation |
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