On ω-limit sets of autonomous systems in infinite dimensional Banach spaces

被引：2
|
作者：
Herzog, G [1 ]
机构：
[1] Univ Karlsruhe, Inst Math 1, D-76128 Karlsruhe, Germany
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2000年 / 61卷 / 03期
关键词：
D O I：
10.1017/S0004972700022486
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that each Polish space is homeomorphic to the omega-limit set of a bounded solution of an autonomous equation x' = f(x) in l(2) x c(0), in which f is Lipschitz continuous on bounded sets.
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页码：459 / 462
页数：4
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