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.
出处
《纺织高校基础科学学报》
CAS
2003年第4期298-302,共5页
Basic Sciences Journal of Textile Universities
关键词
中立型微分方程
振动方程
振动解
neutral differential equation
oscillatory equation
oscillatory solution
