ON MEASURES OF WEAK NONCOMPACTNESS

被引：0
|
作者：
CICHON, M [1 ]
机构：
[1] ADAM MICKIEWICZ UNIV POZNAN,INST MATH,PL-60769 POZNAN,POLAND
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 1994年 / 45卷 / 1-2期
关键词：
MEASURES OF WEAK NONCOMPACTNESS; BANACH SPACES; NONLINEAR DIFFERENTIAL EQUATIONS; BOUNDED WEAK SOLUTIONS OF DIFFERENTIAL EQUATIONS; FUNCTION SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give an axiomatic definition of a measure of weak noncompactness and at the same time we present a general scheme of construction of such measures in a useful way. This allows us to prove their important properties. Furthermore, we prove a theorem dealing with the existence of bounded weak solutions of a nonlinear differential equation on R+, as an example of application of our theory.
引用
收藏
页码：93 / 102
页数：10
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