Global attractors of non-autonomous lattice dynamical systems [Articol]
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Moldova State University
Abstract
The aim of this paper is studying the compact global attractors for nonautonomous lattice dynamical systems of the form u′ i = ν(ui−1 −2ui +ui+1)−λui + f(ui) + fi(t) (i ∈ Z, λ > 0). We prove their dissipativness, asymptotic compactness and then the existence of compact global attractors.
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CHEBAN, David and Andrei SULTAN. Global attractors of non-autonomous lattice dynamical systems. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica. 2025, nr. 2-3(108-109), pp. 33-49. ISSN 1024-7696; E-ISSN 2587-4322. Disponibil: https://doi.org/10.56415/basm.y2025.i2-3.p45