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