A Note on the Global Solutions of the Cauchy Problem in Banach Spaces

被引：0
|
作者：
Daria Bugajewska
机构：
[1] Adam Mickiewicz University,Faculty of Mathematics and Computer Science
来源：
Acta Mathematica Hungarica | 2000年 / 88卷
关键词：
Banach Space; Cauchy Problem; Global Solution; Topological Structure; Suitable Condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to describe the topological structure of global solutions set of the initial value problem in Banach spaces. More precisely, we prove that under suitable conditions this set is homeomorphic to the intersection of a decreasing sequence of compact absolute retracts (shortly: it is an R5 set). The main condition in our result is formulated in terms of the Kuratowski measure of noncompactness.
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页码：341 / 346
页数：5
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