Existence and Uniqueness of Almost Automorphic Mild Solutions to Some Semilinear Abstract Differential Equations

被引：0

作者：

Gaston M. N’Guérékata

机构：

[1] Department of Mathematics,

[2] Morgan State University,undefined

[3] 1700 E. Cold Spring Lane,undefined

[4] Baltimore,undefined

[5] MD 21251,undefined

来源：

Semigroup Forum | 2004年 / 69卷

关键词：

Differential Equation; Banach Space; Suitable Condition; Mild Solution; Abstract Differential Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the semilinear differential equation x’(t) = Ax(t) + f(t, x(t)), t ∈ ℝ in a Banach space X, where A is the in.nitesimal generator of an exponentially stable C0-semigroup. Under suitable conditions on f, we prove the existence and uniqueness of an almost automorphic mild solution to the equation.

引用

页码：80 / 86

页数：6

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