Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations
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2023-09-13 16:45
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CHEBAN, David. Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations. In: Electronic Journal of Differential Equations, 2002, vol. 2002, pp. XLXXXI-XLX. ISSN 1072-6691.
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Electronic Journal of Differential Equations
Volumul 2002 / 2002 / ISSN 1072-6691 /ISSNe 1550-6150

Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations


Pag. XLXXXI-XLX

Cheban David
 
Moldova State University
 
 
Disponibil în IBN: 12 septembrie 2023


Rezumat

We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small parameter. Several applications of these results are given (quasihomogeneous systems, monotone systems, nonautonomously perturbed systems, nonautonomous 2D Navier-Stokes equations and quasilinear functional-differential equations). 

Cuvinte-cheie
almost periodic motions, Global attractor, Monotone system, nonautonomous dynamical system, skew-product flow