attraction property
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2016 ◽  
Vol 20 (2) ◽  
pp. 365-385
Author(s):  
Nguyen Thieu Huy ◽  
Trinh Viet Duoc ◽  
Dinh Xuan Khanh

2014 ◽  
Vol 49 (4) ◽  
pp. 361-369 ◽  
Author(s):  
B. I. Konosevich ◽  
Yu. B. Konosevich

Author(s):  
Alexandre N. Carvalho ◽  
Jan W. Cholewa ◽  
Tomasz Dłotko

We consider a family of bounded dissipative asymptotically compact semigroups depending on a parameter, and study the continuity properties of the corresponding family of its global attractors. We exploit the idea of the uniform exponential attraction property to discuss the continuity properties of the family of attractors and estimate the rate of convergence of the approximating attractors to the limit one. Showing a range of applications of an abstract framework, we focus much of our attention on a perturbed damped wave equation. In this latter case our results involve nonlinearities with critical exponents, for which the continuity of the family of attractors is concluded, including the rate of convergence and the regularity of the limit attractor. This complements the results in the literature.


2010 ◽  
Vol 20 (09) ◽  
pp. 2671-2680
Author(s):  
PEDRO MARÍN-RUBIO

The problem of the continuity of global attractors under minimal assumptions for a general class of parameterized delay differential equations is considered. The theory of equi-attraction developed by Li and Kloeden in [2004a] is adapted to this framework, so it is proved that the continuity of the attractors with respect to the parameter is equivalent to this equi-attraction property.


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