| 非线性中立抛物型时滞偏微分方程解的振动性质 |
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| 引用本文： | 刘安平,马晴霞,郭艳凤.非线性中立抛物型时滞偏微分方程解的振动性质[J].大学数学,2003,19(6):98-101. |
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| 作者姓名： | 刘安平 马晴霞 郭艳凤 |
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| 作者单位： | 中国地质大学(武汉)数理系,武汉,430074 |
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| 基金项目： | 中国石油天然气集团公司物探重点实验室开放基金 ( GPKL0 2 -0 2 ) |
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| 摘 要： | 讨论一类多滞量非线性中立抛物型时滞偏微分方程解的振动性质 ,应用积分不等式和泛函微分方程的某些结果 ,在第一类边界条件下获得了其一切解振动的一系列充分条件 .结论充分表明了时滞量的决定性作用 ,指出了其与普通抛物型偏微分方程质的差异 .
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| 关 键 词： | 非线性 中立 抛物型 时滞 振动 |
| 文章编号： | 1672-1454(2003)06-0098-04 |
Oscillations of the Solutions for Nonlinear Delay Parabolic Partial Differential Equations of Neutral Type |
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| LIU An-ping,MA Qing-xia,GUO Yan-feng.Oscillations of the Solutions for Nonlinear Delay Parabolic Partial Differential Equations of Neutral Type[J].College Mathematics,2003,19(6):98-101. |
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| Authors: | LIU An-ping MA Qing-xia GUO Yan-feng |
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| Abstract: | By making use of the integral inequalities and some results of the functional differential (equations), oscillatory properties of solutions of certain nonlinear parabolic partial differential equations of neutral type are (investigated) and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay. |
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| Keywords: | nonlinear parabolic oscillation neurtal type delay |
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