线性时滞微分方程解的渐近性态  

Boundness and Asymptotic Behavior of Linear Delay Differential Equations

作　　者：肖淑贤[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《应用数学》2003年第1期121-125,共5页Mathematica Applicata

摘　　要：本文用一个简单的方法证明了一类一阶线性时滞微分方程解的有界性帮必有非振动解 ,分析了振动解的性质 .这个方法也被用来讨论一阶时滞方程组和中立型微分方程 ,所得结果均较简明 .In this paper,by a simple method,the boundness and the existing non-oscillation solution of a kind of linear delay differential equation of first order are proved,as well as the asymptotic property of oscillation solutions is descriped.In addition,by a simple method skill,the existing non-oscillation solutions of delay linear equation system and a newtral differential equation are discussed,respectirely,as well.

关 键 词：线性时滞微分方程 解 渐近性态 振动性 有界性 

分 类 号：O175.12[理学—数学]