某类一阶中立型微分方程的振动性  

Oscillation of a class of first order neutral differential equations

作　　者：高国柱[1] 叶海平[1] 

机构地区：[1]东华大学应用数学系,上海200051

出　　处：《纺织高校基础科学学报》2003年第4期298-302,共5页Basic Sciences Journal of Textile Universities

摘　　要：研究具有正负系数的多滞量一阶中立型微分方程 d/dt[y(t)-Σk=1mRl(t)y(t-rl)]+Σi=1nPi(t)y(t-τi)-Σj=1kQj(t)y(t-σj)=0.其中 Pi,Qj,Rl∈C([t0,∞],R+),rl,τi,σj∈(O,∞)(i=1,2,3,…,k;l=1,2,3,…,m),r1<r2<…<rm,σ1<σ2<…<σk,τ1<τ2<…<τn,σk≤τn.获得上述方程振动的充分条件且推广了单滞量情形的结果.Consider the neutral differential equations with positive and negative coefficients where Pi,Qj,Rl∈C([t0,∞],R+),rl,τi,σj∈(O,∞) (i = 1,2,3,…,n;j = 1,2,3,…,k;l= 1,2,3,… , m) ,r1<r2 <…< rm,σ1<σ2 < … < σk,τ1< τ2<…<τn,σk≤τn. Some sufficient conditions for the oscillation of solutions of the above equation are obtained, some results are extended.

关 键 词：中立型微分方程 振动方程 振动解 

分 类 号：O175.10[理学—数学]