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.
@article{bwmeta1.element.doi-10_2478_s11533-006-0024-7,
author = {Dalibor Pra\v z\'ak},
title = {On the dynamics of equations with infinite delay},
journal = {Open Mathematics},
volume = {4},
year = {2006},
pages = {635-647},
zbl = {1107.37062},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0024-7}
}
Dalibor Pražák. On the dynamics of equations with infinite delay. Open Mathematics, Tome 4 (2006) pp. 635-647. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0024-7/
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