Periodic solutions of second order nonlinear functional difference equations

Ch. G. Philos, I. K. Purnaras

Address.
Department of Mathematics, University of Ioannina, P. O. Box 1186, 451 10 Ioannina, Greece

E-mail.
cphilos@cc.uoi.gr
ipurnara@cc.uoi.gr

Abstract.
Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.

AMSclassification.
39A10, 39A11.

Keywords.
Difference equation with continuous variable, delay difference equation, neutral delay difference equation, behavior of solutions, characteristic equation.