Cheban, David2023-03-062023-03-062023CHEBAN, David. Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems. In: Discrete and Continuous Dynamical Systems- Series A. 2023, nr. 2(43), pp. 895-947. ISSN 1078-0947.1078-0947https://msuir.usm.md/handle/123456789/8966This paper is dedicated to the study of the problem of existence of Poisson stable (Bohr/Levitan almost periodic, almost automorphic, almost recurrent, recurrent, pseudo periodic, pseudo recurrent and Poisson stable) motions of monotone sub-linear non-autonomous dynamical systems. The main results we establish in the framework of general non-autonomous (cocycle) dynamical systems. We apply our general results to the study of the problem of existence of different classes Poisson stable solutions of some types of non-autonomous evolutionary equations (Ordinary Differential Equations, Functional-Differential Equations with finite delay and Difference Equations).enArticle