Geodesic
Reducibility of systems and existence of solutions for almost periodic differential equations
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 34A30, 34C27, 34C15, 34C41, 93C15
Keywords: almost-periodic solutions, reducibility, fixed-point theorem 
@article{EJDE_2012__2012__a48,
     author = {Ben Slimene, Jihed and Blot, Joel},
     title = {Reducibility of systems and existence of solutions for almost periodic differential equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a48/}
}
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Ben Slimene, Jihed; Blot, Joel. Reducibility of systems and existence of solutions for almost periodic differential equations. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a48/