Abstract
We use Krasnoselskii’s fixed point theorem to show that the neutral nonlinear summation-difference system with infinite delay has a periodic solution. We also use the contraction mapping principle to show that the periodic solution is unique. An example is given to illustrate our results.
Citation
Abderrahim Guerfi. Abdelouaheb Ardjouni. "Existence and uniqueness of periodic solutions in neutral nonlinear summation-difference systems with infinite delay." Rocky Mountain J. Math. 51 (2) 527 - 537, April 2021. https://doi.org/10.1216/rmj.2021.51.527
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