Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 75, pp. 1-17.

Title: Reducibility of systems and existence of solutions for almost periodic
       differential equations

Authors: Jihed Ben Slimene (Univ. Paris 1, Paris Cedex 13, France)
         Joel Blot  (Univ. Paris 1, Paris Cedex 13, France)

Abstract:
 We establish the reducibility of linear systems of almost periodic
 differential equations into  upper triangular systems of a. p.
 differential equations.  This is done while the number of independent
 a. p. solutions is conserved.
 We prove existence and uniqueness of a. p. solutions of a nonlinear
 system with an a. p. linear part.  Also we prove the continuous 
 dependence of a. p. solutions of a nonlinear  system with respect 
 to an a. p. control term.

Submitted January 25, 2012. Published May 14, 2012.
Math Subject Classifications: 34A30, 34C27, 34C15,34C41, 93C15.
Key Words: Almost-periodic solutions; reducibility;
           fixed-point theorem.