29 citations · 33 across the 12 of their papers we have counts for
12 papers
Massera's theorem for Asymptotically Periodic Scalar Differential Equations
David Cheban
The aim of this paper is studying the problem of existence of asymptotically periodic solutions of the scalar differential equation where $f:\mathbb R\times \mathbb R\…
Averaging Principle on Semi-axis for Semi-linear Differential Equations
David Cheban
We establish an averaging principle on the real semi-axis for semi-linear equation \begin{equation}\label{eqAb1} x'=\varepsilon (\mathcal A x+f(t)+F(t,x))\nonumber \end{equation} w…
Averaging Principle on Infinite Intervals for Stochastic Ordinary Differential Equations
David Cheban, Zhenxin Liu
In contrast to existing works on stochastic averaging on finite intervals, we establish an averaging principle on the whole real axis, i.e. the so-called second Bogolyubov theorem,…
Levitan Almost Periodic Solutions of Linear Differential Equations
David Cheban
The known Levitan's Theorem states that the linear differential equation with Bohr almost periodic coefficients and admits at least one…
I. U. Bronshtein's Conjecture for Monotone Nonautonomous Dynamical Systems
David Cheban
In this paper we study the problem of almost periodicity of solutions for dissipative differential equations (Bronshtein's conjecture). We give a positive answer to this conjecture…
Poisson stable motions of monotone nonautonomous dynamical systems
David Cheban, Zhenxin Liu
In this paper, we study the Poisson stability (in particular, stationarity, periodicity, quasi-periodicity, Bohr almost periodicity, almost automorphy, recurrence in the sense of B…