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中立双曲型偏微分方程解振动的充要条件 被引量:9

Necessary and Sufficient Conditions for Oscillations of Hyperbolic Neutral Partial Differential Equation
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摘要 讨论一类中立双曲型多滞量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 ; We investigate oscillatory properties of solutions of certain Hyperbolic neutral partial differential equations and establish a series of necessary and sufficient conditions for oscillations of the equations.The results fully indicate that the oscillations are caused by delay and theoscillatory nature is determined by their characteristics equations. This is one important conclusion and hence, reveals the essential differences between the equations and those equations without delay.
出处 《武汉工业大学学报》 EI CSCD 2000年第2期89-91,共3页
关键词 中立型 振动 双曲型方程 充要条件 hyperbolic \ neutral \ delay \ oscillation Liu Anping: Assoc.Prof.,Department of Mathematics and Physics, University of Geosciences, Wuhan 430070,China.
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