| 非线性时滞抛物型方程组的振动判据 |
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| 引用本文： | 赵小龙.非线性时滞抛物型方程组的振动判据[J].吉首大学学报(自然科学版),2007,28(2):30-32. |
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| 作者姓名： | 赵小龙 |
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| 作者单位： | 株洲职业技术学院基础课部,湖南,株洲,412001 |
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| 摘 要： | 讨论了一类非线性抛物型时滞偏微分方程系统的振动性,利用空间平均法和泛函微分方程的某些结果,获得了该类系统在第1类边值条件下所有解振动的若干充分条件.结论充分表明振动是由时滞量引起的.
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| 关 键 词： | 非线性 抛物型偏微分方程系统 时滞 振动 |
| 文章编号： | 1007-2985（2007）02-0030-03 |
| 收稿时间： | 2006-11-12 |
| 修稿时间： | 2006-11-12 |
Oscillation Criteria of Systems of Nonlinear Delay Parabolic Functional Equations |
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| ZHAO Xiao-long.Oscillation Criteria of Systems of Nonlinear Delay Parabolic Functional Equations[J].Journal of Jishou University(Natural Science Edition),2007,28(2):30-32. |
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| Authors: | ZHAO Xiao-long |
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| Institution: | (Basic Department,Zhuzhou Vocational Technology College,Zhuzhou 412001,Hunan China) |
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| Abstract: | The oscillation for a class of systems of nonlinear parabolic delay partial differential equations is studied. Some sufficient conditions are obtained for oscillation of all solutions of the systems under first boundary value conditions via the method of spatial average and some results of the functional differential equations. The results fully indicate that the oscillation is caused by delay. |
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| Keywords: | nonlinear systems of parabolic partial differential equation delay oscillation |
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