Sanchez E., De la Parra R.B., Auger Pierre, Gomez Mourelo P. (2006). Time scales in linear delayed differential equations. Journal of Mathematical Analysis and Applications, 323 (1), p. 680-699. ISSN 0022-247X.
Titre du document
Time scales in linear delayed differential equations
Sanchez E., De la Parra R.B., Auger Pierre, Gomez Mourelo P.
Source
Journal of Mathematical Analysis and Applications, 2006,
323 (1), p. 680-699 ISSN 0022-247X
The 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. The difference between these time scales makes a parameter epsilon > 0 to appear in the formulation, being a mathematical problem of singular perturbations. The 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 Elsevier Inc. All rights reserved.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
