一类单调流的渐近性态

Asymptotic Behavior of A Class of Monotone Flow

摘要: 研究了一类拓扑动力系统单调流的渐近性问题。首先定义了一些概念,然后利用集合分析方法以及不等式分析技巧,获得了拓扑动力系统的单调流是拟渐近的充分条件。文中所获得的结果,不要求动力系统是不可约系统,同时改进了文献1的结果。

Abstract: Using the theory of monotone flow,the globally quasi-convergent asymptotic behavior of the solutions to a class of topological system ẋ=F(x) is discussed.Under the condition that F(x) is analytic,cooperative and k-type,the flow of system is globally quasi convergent.The results about the system in Ref.1 are developed.