@article{fdi:010037626,
  title = {{T}ime scales in linear delayed differential equations},
  author = {{S}anchez, {E}. and {D}e la {P}arra, {R}.{B}. and {A}uger, {P}ierre and {G}omez {M}ourelo, {P}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he aim of this paper is to apply and justify the so-called aggregation of variables method for reduction of a complex system of linear delayed differential equations with two time scales: slow and fast. {T}he difference between these time scales makes a parameter epsilon > 0 to appear in the formulation, being a mathematical problem of singular perturbations. {T}he main result of this work consists of demonstrating that, under some hypotheses, the solution to the perturbed problem converges when epsilon -> 0 to the solution of an aggregated system whose construction is proposed. (c) 2005 {E}lsevier {I}nc. {A}ll rights reserved.},
  keywords = {singular perturbations ; aggregation of variables ; delayed differential equations ; two time scales},
  booktitle = {},
  journal = {{J}ournal of {M}athematical {A}nalysis and {A}pplications},
  volume = {323},
  numero = {1},
  pages = {680--699},
  ISSN = {0022-247{X}},
  year = {2006},
  DOI = {10.1016/j.jmaa.2005.10.074},
  URL = {https://www.documentation.ird.fr/hor/fdi:010037626},
}