摘要
本文考虑形如x(t)=diag(x(t))g(x_t)的泛函微分方程.我们的主要结果(定理3.1)指明,若g满足一定的条件,则当初始函数属于C([-r,0],R^n)的某个子集时所述方程的所有解都收敛于同一平衡状态.
In this paper the author considers functional differential equations of the form x(t)=diag(x(t))g(x_t). The main result(Theorem3.1) shows that if g satisfies certain conditions, then all the solutions of the considered equation, of which the initial functions belong to a given subset of the space C([-r, 0], R^n), converge to a unique equilibrium state.
出处
《应用数学》
CSCD
北大核心
1991年第4期71-77,共7页
Mathematica Applicata
关键词
泛函微分方程
全局渐近状态
Functional differential equation
Global asymptotic behavior
K type monotone system
