Approximate Forward Attractors of Non-Autonomous Dynamical Systems

Citation:

Xuewei JU,Desheng LI,Chunqiu LI,Ailing QI.Approximate Forward Attractors of Non-Autonomous Dynamical Systems[J].Chinese Annals of Mathematics B,2019,40(4):541~554
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Authors:

Xuewei JU; Desheng LI;Chunqiu LI;Ailing QI

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11871368, 11672326, 11601515) and the Foundation Research Funds for the Central Universities (No.3122015L00 & 6).
Abstract: In this paper the forward asymptotical behavior of non-autonomous dynamical systems and their attractors are investigated. Under general conditions, the authors show that every neighborhood of pullback attractor has forward attracting property.

Keywords:

Non-autonomous dynamical systems, Pullback attractors, Forwardlinebreak attractors, Uniform attractors, Approximate forwardattractors

Classification:

37C60, 37C70, 37B25
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