## Differential and Integral Equations

### Eberlein-weakly almost-periodic solutions of evolution equations in Banach spaces

Josef Kreulich

#### Abstract

We study the asymptotic behavior of solutions to the---generally nonautonomous and nonlinear---Cauchy problem $$u^{\prime}(t) \in A(t)u(t) + f(t), \ \ t \in \mathbb{R}^+ , \,\,\, u(0) = u_0. \tag {CP_t}$$ The emphasis is on almost-periodicity properties of the solution, in particular on weak almost periodicity (in the sense of Eberlein).

#### Article information

Source
Differential Integral Equations, Volume 9, Number 5 (1996), 1005-1027.

Dates
First available in Project Euclid: 6 May 2013