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A Note on Homogenization of Ordinary Differential Equations with Delay Term
Author(s) -
Waurick Marcus,
Kaliske Michael
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110431
Subject(s) - homogenization (climate) , mathematics , delay differential equation , differential equation , mathematical analysis , ordinary differential equation , biodiversity , ecology , biology
An approach to homogenization of delay differential equations is proposed. Assuming some dependence between the delay and the micro‐scale, the effective equation is explicitly computed. The effective equations of homogenization of delay equations and the respective equations without delay are compared. In either cases, the effective equation is of integro‐differential‐type. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)