Existence of Semilinear Differential Equations with Nonlocal Initial Conditions

被引：0

作者：

Xing Mei Xue

机构：

[1] Southeast University,Department of Mathematics

来源：

Acta Mathematica Sinica, English Series | 2007年 / 23卷

关键词：

nonlocal condition; compact semigroup; mild solution; 34G10; 34G20; 47D06;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we give the existence of mild solutions for semilinear Cauchy problems u'(t) = Au(t) + f(t, u(t)), t ∈¸ I, a.e. with nonlocal initial condition u(0) = g(u) + u0 when the map g loses compactness in Banach spaces.

引用

页码：983 / 988

页数：5

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