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math.DS2011
On the Structure of the Global Attractor for Non-autonomous Difference Equations with Weak Convergence
Tomás Caraballo, David Cheban
The aim of this paper is to describe the structure of global attractors for non-autonomous difference systems of equations with recurrent (in particular, almost periodic) coefficie…
math.DS2004★ 29 cited
Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations
David Cheban, Jinqiao Duan
The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors. This problem is for…
math.DS2004
Generalization of the Second Bogolyubov's Theorem for Non-Almost Periodic Systems
David N. Cheban, Jinqiao Duan, Anatoly Gherco
The article is devoted to the generalization of the second Bogolyubov's theorem to non-almost periodic dynamical systems. We prove the analog of the second Bogolyubov's theorem for…