## Differential and Integral Equations

### Almost periodicity of solutions for almost periodic evolution equations

#### Abstract

In this paper, we discuss almost periodicity of solutions for evolution equations in Banach space. We introduce the concept of difference-variation equation. For a special Hilbert space, we establish some results on almost periodicity of all solutions for evolution equations. In particular, we extend Haraux's result on $R^2$ to $R^n.$

#### Article information

Source
Differential Integral Equations, Volume 18, Number 4 (2005), 469-480.

Dates
First available in Project Euclid: 21 December 2012