| 一类泛函微分方程的全局渐近状态 |
| |
| 引用本文： | 胡适耕.一类泛函微分方程的全局渐近状态[J].应用数学,1991,4(4):71-77. |
| |
| 作者姓名： | 胡适耕 |
| |
| 作者单位： | 华中理工大学数学系 430074 |
| |
| 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.
|
| 关 键 词： | 泛函微分方程 全局渐近状态 K型单调系统 |
Global Asymptotic Behavior of a Class of Functional Differential Equations |
| |
| Hu Shigeng.Global Asymptotic Behavior of a Class of Functional Differential Equations[J].Mathematica Applicata,1991,4(4):71-77. |
| |
| Authors: | Hu Shigeng |
| |
| Abstract: | 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. |
| |
| Keywords: | Functional differential equation Global asymptotic behavior K type monotone system |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
