Asymptotic behavior of non-autonomous lattice systems

By Bixiang Wang. 2007

87 citations recorded by the source corpus.

Abstract The asymptotic behavior of non-autonomous infinite-dimensional lattice systems is studied. It is shown that the non-autonomous lattice reaction–diffusion system has a compact uniform attractor. The uniform asymptotic compactness of the system is established by showing that the tails of the solutions are uniformly small when time goes to infinity. The upper semicontinuity of uniform attractors is also obtained when the infinite-dimensional reaction–diffusion system is approached by a family of finite-dimensional systems.

Subfields: Computer Networks and Communications, Control and Systems Engineering, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/e2eaae945670fd08586d7950c4fcbc3a725ba8a3

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In Computer Networks and Communications

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Citations in the corpus

On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems (2013, background): “The existence and properties of the global attractor for lattice differential equations have been established, for example, in [2], [7], [10], [38], [39], [44], [45], [51], [52], [53].”
Pullback Exponential Attractors for Non-autonomous Lattice Systems (2012, background): “When the locally linear coupled operator is a positive self-adjoint constant operator, Wang [13], Zhou et al [16], Li and Lv [40] proved the existence of uniform attractors and finiteness of fractal dimension of kernel sections for systems (1) in non-weighted space l2 and (2) in l2 × l2 respectively”