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.

引用

页码：459 / 462

页数：4

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