Periodic solutions for totally nonlinear neutral delay difference equations. (English) Zbl 1346.39005

Summary: We obtain sufficient conditions under which solutions of certain classes of totally nonlinear neutral delay difference equations are periodic. A reformulated version of a fixed point theorem of Krasnoselskii is used to arrive at the main results. The results obtained in the paper generalizes the work in [M. R. Maroun and Y. N. Raffoul, J. Korean Math. Soc. 42, No. 2, 255–268 (2005; Zbl 1070.39020)].


39A10 Additive difference equations
39A12 Discrete version of topics in analysis


Zbl 1070.39020
Full Text: Link