POISSON STABLE MOTIONS OF MONOTONE AND STRONGLY SUB-LINEAR NON-AUTONOMOUS DYNAMICAL SYSTEMS
Date
2023
Authors
Journal Title
Journal ISSN
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Publisher
Hybrid & Monthly
Abstract
This 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).
Description
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Citation
CHEBAN, 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.