Note on random-limit-periodic solutions of nonlinear random difference equations
Résumé
The existence of random-limit-periodic solutions is investigated to nonlinear random difference equations. The main aim of this paper is two-fold:
(i) to avoid the global Lipschitzeanity in the state variable imposed on the nonlinearities, (ii) to randomize our earlier results obtained in the deterministic case.
Two main theorems are presented and supplied by illustrative examples.