Existence results for semilinear differential inclusions

被引：7
|
作者：
Fan, Zhenbin [1 ]
Li, Gang
机构：
[1] Yangzhou Univ, Dept Math, Yangzhou 225002, Peoples R China
[2] Yangzhou Polytech Coll, Yangzhou 225002, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 76卷 / 02期
关键词：
D O I：
10.1017/S0004972700039629
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the existence of mild solutions for Cauchy problem u'(t) is an element of A(t)u(t) + F (t, u(t)), 0 < t <= T, u(0) = u(0). We derive conditions under which the mild solutions exist, and also get the relative compactness of the solution set, which extend and improve some existing results in this area.
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页码：227 / 241
页数：15
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