In this paper, we discuss the existence problem of periodic solutions of the periodic difference equation
x(n + 1) = f(n, x(n)), n ∈ Z
and the periodic difference equation with infinite delay
x(n + 1) = f(n, xn), n ∈ Z,
where x and f are d-vectors, and Z denotes the set of integers. We show the existence of periodic solutions by using Schauder’s fixed point theorem, and illustrate an example.
@article{1462,
title = {Periodic Solutions of Periodic Difference Equations by Schauder's Theorem},
journal = {CUBO, A Mathematical Journal},
volume = {11},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/1462}
}
Furumochi, Tetsuo. Periodic Solutions of Periodic Difference Equations by Schauder’s Theorem. CUBO, A Mathematical Journal, Tome 11 (2009) . http://gdmltest.u-ga.fr/item/1462/