Periodic solutions for neutral summation-difference equations with infinite delay

  • Abderrahim Guerfi
  • Abdelouaheb Ardjouni University of Annaba, Department of Mathematics


In this paper, we study the existence of periodic solutions of a nonlinear neutral summation-difference equation with infinite delay. The main tool employed here is Krasnoselskii-Burton's fixed point theorem dealing with a sum of two mappings, one is a contraction and the other is completely continuous. The results obtained here extend the work of Eloe, Jonnalagadda and Raffoul <cite>15</cite>. An example is also given to illustrate this work.