This work is concerned with a nonlinear periodic system, which depends on parameters. We investigate continuity with respect to parameters of the periodic solution of the system. Applying a fixed point theorem and the results regarding parameters for C0- semigroups, we obtained some convenient conditions for determining both existence of a unique periodic solution and continuity in parameters of the periodic solution. The results are applied to a nonlinear wave equation with forced and damped boundary conditions.
@article{1465,
title = {Fixed Point Theory and Nonlinear Periodic Systems},
journal = {CUBO, A Mathematical Journal},
volume = {11},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/1465}
}
Grimmer, Ronald; He, Min. Fixed Point Theory and Nonlinear Periodic Systems. CUBO, A Mathematical Journal, Tome 11 (2009) . http://gdmltest.u-ga.fr/item/1465/