| 非线性抛物型时滞微分方程解振动的充要条件 |
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| 引用本文： | 刘安平,於文辉,丁燕鸿.非线性抛物型时滞微分方程解振动的充要条件[J].纯粹数学与应用数学,2002,18(1):86-89. |
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| 作者姓名： | 刘安平 於文辉 丁燕鸿 |
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| 作者单位： | 1. 中国地质大学数理系,武汉,430074
2. 湖北税务学校,武汉,430064 |
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| 基金项目： | 中国石油天然气集团公司资助项目;GPKL02-02; |
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| 摘 要： | 讨论了一类多滞量非线性抛物型时滞微分方程解的振动性质，获得了其一切解振动的充要条件；指出了其与普通抛物型偏微分方程解的质的差异。
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| 关 键 词： | 非线性抛物型时滞微分方程 充要条件 振动 充要条件 |
| 文章编号： | 1008-5513(2002)01-0086-04 |
| 修稿时间： | 2001年2月14日 |
Necessary and sufficient condition for oscillations of nonlinear parabolic partial differential equations |
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| LIU An-ping ,YU Wen-hui ,DING Yan-hong.Necessary and sufficient condition for oscillations of nonlinear parabolic partial differential equations[J].Pure and Applied Mathematics,2002,18(1):86-89. |
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| Authors: | LIU An-ping YU Wen-hui DING Yan-hong |
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| Institution: | LIU An-ping 1,YU Wen-hui 1,DING Yan-hong 2 |
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| Abstract: | Oscillatory properties of solutions of certain nonlinear parabolic partial differential equations are investigated, a series of sufficient conditions and a necessary and sufficient condition for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay. These are important conclusions, and hence reveal the essential differences between the equations and those equations without delay. |
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| Keywords: | delay parabolic oscillation nonlinear necessary and sufficient condition |
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