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一类非线性含时滞阻尼项双曲型方程解的振动性质
引用本文:刘安平,苑金臣.一类非线性含时滞阻尼项双曲型方程解的振动性质[J].大学数学,1994(Z1).
作者姓名:刘安平  苑金臣
作者单位:中国地质大学 武汉
摘    要:本文讨论一类含时滞阻尼项的非线性双曲型方程解的振动性质,所得判别振动的充分条件从理论上揭示了这类方程与普通双曲型方程质的差异,且应用十分便利;同时指明了振动由时滞量引起这一重要结论。

关 键 词:时滞  阻尼项  双曲型  振动

Oscillations of Certain Hyperbolic Delay Differential Equations with Damping Terms
Liu Anping Yuan Jinchen.Oscillations of Certain Hyperbolic Delay Differential Equations with Damping Terms[J].College Mathematics,1994(Z1).
Authors:Liu Anping Yuan Jinchen
Institution:China University of Geoseiences
Abstract:In this paper, we investigate oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations with damping terms and establish a series of criteria. The results fully iridicate that the oscillations are caused by time-lag. This is one important conclusion and, hence, reveals the essential differences between these equations and those hyperbolic partial differential equations without time-lag.
Keywords:Oscillation Delay Damping term Hyperbolic
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