Existence and Global Attractivity of Periodic Solutions to Some Classes of Difference Equations

Existence and global attractivity of periodic solutions to some subclasses of the following class of difference equations x(n+1) = q(n)x(n) + f(n, x(n), x(n-1), ..., x(n-k)), n is an element of N-0, where k is an element of N-0, (q(n))(n is an element of N0) is a T-periodic sequence (T is an element of N), and f : N-0 x Rk+1 -> R is a T-periodic function in the first variable, which for each n is an element of {0, 1, ..., T - 1} is continuous in other variables, are studied.