非线性中立双曲型泛函微分方程解的振动判据  

Oscillations of the Solutions of Hyperbolic Partial Functional Differential Equations of Neutral Type

作　　者：刘安平[1] 肖莉[1] 刘婷[1] 

机构地区：[1]中国地质大学数理系,湖北武汉430074

出　　处：《应用泛函分析学报》2002年第1期69-74,共6页Acta Analysis Functionalis Applicata

基　　金：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 .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.

关 键 词：中立 泛函微分方程 双曲型 振动 非线性 

分 类 号：O175.27[理学—数学]