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中立抛物型偏微分方程解的强迫振动 被引量:2

Sufficient Conditions for Oscillations of Parabolic Partial Differential Equations
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摘要 本文讨论一类多滞量中立抛物型偏微分方程解的振动性质 ,获得了其一切解振动的充分条件 ;指出了与普通抛物型偏微分方程质的差异 . 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 that the oscillations are caused by delay. This is one important conclusion and hence, reveals the essential differences between the equations and those equations without delay.
作者 刘安平
出处 《工科数学》 2001年第2期38-40,共3页 Journal of Mathematics For Technology
关键词 中立 抛物型 振动 偏微分方程 强迫振动 parabolic partial differential equation delay oscillation
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  • 1傅希林,张立琴.一类抛物型偏泛函微分方程解的强迫振动性[J].数学杂志,1994,14(3):297-304. 被引量:10
  • 2罗李平.一类中立型时滞抛物偏微分方程的强迫振动性[J].数学的实践与认识,2005,35(10):182-189. 被引量:14
  • 3[1]Yu Y H Chen W D.Oscillation criteria of solutions for linear parabolic equations of the neutral type.Lecture Notes in Pure and Applied Mathemtics,New York,Marcel Dekker,1996;176:449-466
  • 4[2]Li W N,Cui B T.A necessary and sufficient condition for oscillation of parabolic equations of neutal type.Math Appl,1999;12(1):50-52
  • 5[3]Li W N,Cui B T.Necessary and sufficent conditions for oscillation of neutral delay parabolic differential equations.Appl Math Comput,2001;121:147-153
  • 6[5]Ouyan Zigen.Necessaey and sufficient conditions for oscillation of odd order neutral delay parabolic differential euations.Appl Math Litt,2003;16:1039-1045
  • 7[9]Fu Xilin,Zhuang Wan.Oscillation of certain neutral delay parabolic equations.J Math Anal Appl,1995;19(1):473-489
  • 8[11]Wang Peiguang,Ge Weigao.Oscillation of solutions of parabolic differential equations of neutraltype.宁夏大学学报(自然科学版),2000;21(1):20-23
  • 9Wu J H.Theory and Applications of Partial Functional Differential Equations[M].New York:Springer-Verlag,1996.
  • 10Yu Y H,Chen W D.Oscillation criteria of solutions for linear parabolic equations of the neutral type[J].Lecture Notes in Pure and Applied Mathematics,1996,176:449-466.

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