Existence and global attractivity of periodic solutions to some classes of difference equations

Abstract

© University of Nis. All rights reserved. Existence and global attractivity of periodic solutions to some subclasses of the following class of difference equations xn+1 = qn xn + f (n, xn, xn−1,…, xn−k ), n ∈ N0, where k ∈ N0, (qn )n∈N0 is a T-periodic sequence (T ∈ N), and f: N0 × Rk+1 → R is a T-periodic function in the first variable, which for each n ∈ {0, 1,…, T − 1} is continuous in other variables, are studied.