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

Yankson, Ernest; Essel, Emmanuel K.

Transylv. J. Math. Mech. 7, No. 1, 85-94 (2015).

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)].

MSC:

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

Keywords:

fixed point; totally nonlinear difference equations; large contraction; periodic solution

Citations:

Zbl 1070.39020