3 papers
math.DS2026
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…
math.DS2025
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…
math.DS2025
Global Attractors of Non-autonomous Lattice Dynamical Systems
David Cheban, Andrei Sultan
The aim of this paper is studying the compact global attractors for non-autonomous 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)\ (…