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非线性中立双曲型泛函微分方程解的振动判据
引用本文:刘安平,肖莉,刘婷.非线性中立双曲型泛函微分方程解的振动判据[J].应用泛函分析学报,2002,4(1):69-74.
作者姓名:刘安平  肖莉  刘婷
作者单位:中国地质大学数理系,湖北武汉,430074
基金项目:国土资源部矿产资源定量预测开放研究实验室研究基金 (MGMR2 0 0 0 -1 8)
摘    要:讨论一类多滞量非线性中立双曲型泛函微分方程解的振动性质,获得了其一切解振动的充分条件;指出了与普通双曲型偏微分方程质的差异。

关 键 词:中立  泛函微分方程  双曲型  振动  非线性
文章编号:1009-1327(2002)01-0069-06
修稿时间:2001年6月9日

Oscillations of the Solutions of Hyperbolic Partial Functional Differential Equations of Neutral Type
LIU An\|ping,\ XIAO Li,\ LIU Ting.Oscillations of the Solutions of Hyperbolic Partial Functional Differential Equations of Neutral Type[J].Acta Analysis Functionalis Applicata,2002,4(1):69-74.
Authors:LIU An\|ping  \ XIAO Li  \ LIU Ting
Institution:LIU An\|ping,\ XIAO Li,\ LIU Ting Department of Mathematics & Physics,China University of Geosciences,Wuhan 430074,China
Abstract:In this paper, oscillatory properties of solutions of certain nonlinear neutral hyperbolic functional differential equations were investigated and a series of sufficient conditions for oscillations of the equations were established. The results fullyindicate that the oscillations are caused by delay.
Keywords:Hyperbolic  functional differential equation  oscillation nonlinear neutral
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