非线性中立抛物型泛函微分方程解的振动判据  

Oscillations of the Solutions of Parabolic Partial Differential Equations of Neutral Type

作　　者：刘安平[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》2000年第4期376-381,共6页Acta Analysis Functionalis Applicata

摘　　要：讨论一类多滞量中立抛物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及线性情况下的充要条件 ;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 thatthe oscillations are caused by delay.This is one important conclusion and hence, reveals the essential differences between the equations and those equations without delay.

关 键 词：泛函微分方程 振动性 非线性 中立型 抛物型方程 解 

分 类 号：O175.26[理学—数学]