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Open Mathematics
Article . 2006
Data sources: DOAJ
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Central European Journal of Mathematics
Article . 2006 . Peer-reviewed
License: Springer TDM
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On the dynamics of equations with infinite delay

Authors: Dalibor Pražák;

On the dynamics of equations with infinite delay

Abstract

We consider a system of ordinary differential equations with infinite delay. We study large time dynamics in the phase space of functions with an exponentially decaying weight. The existence of an exponential attractor is proved under the abstract assumption that the right-hand side is Lipschitz continuous. The dimension of the attractor is explicitly estimated.

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Keywords

fractal dimension, 34k17, 37l25, exponential attractor, QA1-939, equations with infinite delay, 37l30, Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
gold