On the dynamics of equations with infinite delay

Dalibor Pražák

Open Mathematics (2006)

  • Volume: 4, Issue: 4, page 635-647
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Dalibor Pražák. "On the dynamics of equations with infinite delay." Open Mathematics 4.4 (2006): 635-647. <http://eudml.org/doc/269018>.

@article{DaliborPražák2006,
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.},
author = {Dalibor Pražák},
journal = {Open Mathematics},
keywords = {37L25; 37L30; 34K17},
language = {eng},
number = {4},
pages = {635-647},
title = {On the dynamics of equations with infinite delay},
url = {http://eudml.org/doc/269018},
volume = {4},
year = {2006},
}

TY - JOUR
AU - Dalibor Pražák
TI - On the dynamics of equations with infinite delay
JO - Open Mathematics
PY - 2006
VL - 4
IS - 4
SP - 635
EP - 647
AB - 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.
LA - eng
KW - 37L25; 37L30; 34K17
UR - http://eudml.org/doc/269018
ER -

References

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