# On the dynamics of equations with infinite delay

Open Mathematics (2006)

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

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topDalibor 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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