Address. Department of Mathematics, Guangdong University of Business Studies Guangzhou 510000, P. R. China
Abstract. Sufficient conditions for the existence of at least one $T-$periodic solution of second order nonlinear functional difference equations are established. We allow $f$ to be at most linear, superlinear or sublinear in obtained results.
AMSclassification. 34B10, 34B15.
Keywords. Periodic solutions, second order functional difference equation, fixed-point theorem, growth condition.