DEPENDENCE RESULTS ON ALMOST PERIODIC AND ALMOST AUTOMORPHIC SOLUTIONS OF EVOLUTION EQUATIONS

被引：0

作者：

Blot, Joel ^{[1
]}

Cieutat, Philippe ^{[2
]}

N'Guerekata, Gaston M. ^{[3
]}

机构：

[1] Univ Paris 01, Lab SAMM EA 4543, Ctr PMF, F-75634 Paris 13, France

[2] Univ Versailles St Quentin En Yvelines, Lab Math Versailles, CNRS, UMR 8100, F-78035 Versailles, France

[3] Morgan State Univ, Dept Math, Baltimore, MD 21252 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Semilinear evolution equation; almost periodic function; almost automorphic function; dependence results;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the semilinear evolution equations x'(t) = A(t) x(t)+f(x(t), u(t), t) and x' (t) = A(t) x(t) + f(x(t), zeta, t) where A(t) is a unbounded linear operator on a Banach space X and f is a nonlinear operator. We study the dependence of solutions x with respect to the function u in three cases: the continuous almost periodic functions, the differentiable almost periodic functions, and the almost automorphic functions. We give results on the continuous dependence and on the differentiable dependence.

引用

页数：13

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