%0 Journal Article
%T Dependence results on almost periodic and almost automorphic solutions of evolution equations
%A Joel Blot
%A Philippe Cieutat
%A Gaston M. N'Guerekata
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X 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.
%K Semilinear evolution equation
%K almost periodic function
%K almost automorphic function
%K dependence results
%U http://ejde.math.txstate.edu/Volumes/2010/101/abstr.html