The aim of this paper is the study of problem of existence of Levitan almost periodic, almost automorphic, recurrent and Poisson stable solutions of seconde order differential equation (1) x′′ =… (More)

In this article, we study the uniform asymptotic stability of the switched system u′ = fν(t)(u), u ∈ Rn, where ν : R+ → {1, 2, . . . ,m} is an arbitrary piecewise constant function. We find criteria… (More)

The paper is about the study of the nonautonomous Navier-Stokes system. This problem is formulated and investigated in the context of general nonautonomous dynamical systems. We first prove that this… (More)

J. Dynamics and Diff. Eqns., in press, 2004. The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global… (More)

The discrete analog of the well-known Favard Theorem states that the linear difference equation (1) x(t + 1) = A(t)x(t) + f(t) (t ∈ Z) with Bohr almost periodic coefficients admits at least one Bohr… (More)