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ATTRACTORS FOR PARAMETRIC DELAY DIFFERENTIAL EQUATIONS AND THEIR CONTINUOUS BEHAVIOR

PEDRO MARÍN-RUBIO

Dpto. de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080 Sevilla, Spain

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https://doi.org/10.1142/S0218127410027283Cited by:0 (Source: Crossref)

Abstract

The problem of the continuity of global attractors under minimal assumptions for a general class of parameterized delay differential equations is considered. The theory of equi-attraction developed by Li and Kloeden in [2004a] is adapted to this framework, so it is proved that the continuity of the attractors with respect to the parameter is equivalent to this equi-attraction property.

Dedicated to the memory of Valery S. Melnik

Keywords:

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