Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4624025 | Journal of Mathematical Analysis and Applications | 2006 | 20 Pages |
Abstract
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 ε>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 ε→0 to the solution of an aggregated system whose construction is proposed.
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