Jihed Ben Slimene, Joel Blot
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.
Show me the PDF file (288 KB), TEX file, and other files for this article.
 |
Jihed Ben Slimene Laboratoire SAMM, Université Paris 1 Panthéon-Sorbonne Centre P.M.F., 90 rue de Tolbiac 75634 Paris Cedex 13, France email: jihed.benslimene@laposte.net |
|---|---|
 |
Joël Blot Laboratoire SAMM, Université Paris 1 Panthéon-Sorbonne Centre P.M.F., 90 rue de Tolbiac 75634 Paris Cedex 13, France email: joel.blot@univ-paris1.fr |
Return to the EJDE web page