A Note on the Periodicity in Difference Equations

Andrei Ronto

Address. Institute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkovskaya, 3, 01601 Kiev,

E-mail: ar@imath.kiev.ua

Abstract. Sufficient conditions are obtained for the existence of a unique periodic solution of a linear first order difference equation in a Banach space.

AMSclassification. 34A10, 34K06, 34K13

Keywords. Difference equation, periodic solution