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).
Citation
Josef Kreulich. "Eberlein-weakly almost-periodic solutions of evolution equations in Banach spaces." Differential Integral Equations 9 (5) 1005 - 1027, 1996. https://doi.org/10.57262/die/1367871528
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