Attractors for non-autonomous retarded lattice dynamical systems

Tomás Caraballo; Francisco Morillas; José Valero

Nonautonomous Dynamical Systems (2015)

  • Volume: 2, Issue: 1, page 31-51, electronic only
  • ISSN: 2353-0626

Abstract

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In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.

How to cite

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Tomás Caraballo, Francisco Morillas, and José Valero. "Attractors for non-autonomous retarded lattice dynamical systems." Nonautonomous Dynamical Systems 2.1 (2015): 31-51, electronic only. <http://eudml.org/doc/271005>.

@article{TomásCaraballo2015,
abstract = {In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.},
author = {Tomás Caraballo, Francisco Morillas, José Valero},
journal = {Nonautonomous Dynamical Systems},
keywords = {lattice dynamical systems; non-autonomous systems; differential equations with delay; set-valued dynamical systems; pullback attractor; set-valued dynamical systems},
language = {eng},
number = {1},
pages = {31-51, electronic only},
title = {Attractors for non-autonomous retarded lattice dynamical systems},
url = {http://eudml.org/doc/271005},
volume = {2},
year = {2015},
}

TY - JOUR
AU - Tomás Caraballo
AU - Francisco Morillas
AU - José Valero
TI - Attractors for non-autonomous retarded lattice dynamical systems
JO - Nonautonomous Dynamical Systems
PY - 2015
VL - 2
IS - 1
SP - 31
EP - 51, electronic only
AB - In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such system as well. Both multivalued and single-valued cases are considered.
LA - eng
KW - lattice dynamical systems; non-autonomous systems; differential equations with delay; set-valued dynamical systems; pullback attractor; set-valued dynamical systems
UR - http://eudml.org/doc/271005
ER -

References

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