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.