摘要
利用Krasnoselskii不动点定理,得到了一阶非线性中立型方程组[x_i(t)+sum from j=1 to n c_(ij)x_j(t-σ)]′+f_i(t,x_l(g_(il)(t)),…,x_n(g_(in)(t)))=0,i=1,2,…,n存在趋于具均为正(负)分量的常向量的非振动解的充分必要条件.
Using Krasnoselskii fixed point theorem,we obtain the necessary and sufficient conditions for the existence of nonoscillatory solutions which tend to constant vector with positive components (or negative components) for first order nonlinear neutral system of differential equations:
出处
《应用数学》
CSCD
北大核心
1994年第3期311-319,共9页
Mathematica Applicata
关键词
中立型
非振动解
泛函微分方程
Neutral system
Nonlinear
Nonoscillatory solution
Krasnoselskii fixed point theorem
