6 papers
Approximation of Attractors of Nonautonomous Lattice Dynamical Systems
David Cheban, Andrei Sultan
The aim of this paper is to study the finite-dimensional approximations of the nonautonomous lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+F(u_i)+f…
Amerio's Theorem for Remotely Almost Periodic Differential Equations
David Cheban
The aim of this paper is to study the remotely almost periodic motions of dynamical systems and solutions of nonlinear differential equations. We establish some properties of remot…
The Integration of Stepanov Remotely Almost Periodic Functions
David Cheban
The aim of this paper is to study the problem of the integration of Stepanov remotely almost periodic functions. We prove that every compact primitive of a Stepanov remotely almost…
Almost Periodic Solutions of Lattice Dynamical Systems with Monotone Nonlinearity
David Cheban, Andrei Sultan
The aim of this paper is studying the problem of almost periodicity of almost periodic lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+F(u_i)+f_{i}(t…
Remotely Almost Periodic Solutions of Scalar Differential Equations
David Cheban
The aim of this paper is to study the problem of existence of remotely almost periodic solutions for the scalar differential equation where $f:\mathbb R\times \mathbb…
Two-sided Remotely Almost Periodic Solutions of Ordinary Differential Equations in Banach Spaces
David Cheban
The aim of this paper is studying the two-sided remotely almost periodic solutions of ordinary differential equations in Banach spaces of the form with two-s…