| 中立抛物型时滞偏微分方程解振动的充要条件 |
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| 引用本文： | 刘安平,何水明,李星. 中立抛物型时滞偏微分方程解振动的充要条件[J]. 数学杂志, 2003, 23(3): 333-336 |
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| 作者姓名： | 刘安平 何水明 李星 |
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| 作者单位： | 中国地质大学数理系,武汉,430074 |
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| 基金项目： | 国土资源部矿产资源定量预测开放研究基金(MGMR2000-18) |
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| 摘 要： | 本丈讨论一类多滞量中立抛物型时滞偏微分方程解的振动性质。获得了其一切解振动的充要条件；所得充要条件将时滞偏微分方程解的振动判别问题转化为时滞微分方程解的振动判别问题；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： | 中立 抛物型 时滞 振动 充要条件 |
| 文章编号： | 0255-7797(2003)03-0333-04 |
NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE |
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| LIU An-ping HE Shui-ming LI Xing. NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE[J]. Journal of Mathematics, 2003, 23(3): 333-336 |
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| Authors: | LIU An-ping HE Shui-ming LI Xing |
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| Abstract: | In this paper, oscillatory properties of solutions of certain parabolic partial differential equations are investigated, a series of necessary and sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay. This is one mportant conclusion and hence, reveals the essential differences between the equations and those quations without delay. The results also reveal the relation between these equations and ordinary differential equations with delay. |
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| Keywords: | neutral parabolic delay oscillation necessary and sufficient condition |
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