Attractors for differential equations with unbounded delays☆

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Abstract

We prove the existence of attractors for some types of differential problems containing infinite delays. Applications and examples are provided to illustrate the theory, which is valid for both cases with and without explicit dependence of time, and with or without uniqueness of solutions, as well.

MSC

34D45
34K20
34K25
37L30

Keywords

Autonomous and non-autonomous (pullback) attractors
Delay differential equations
Infinite delays

Cited by (0)

☆

This work has been partially supported by Ministerio de Educación y Ciencia (MEC, Spain) and FEDER (Fondo Europeo de Desarrollo Regional), grants MTM2005-01412 and MTM2005-03868, by Generalitat Valenciana (Spain), grant GV05/064, and Consejería de Cultura y Educación (Comunidad Autónoma de Murcia), grant PI-8/00807/FS/01.

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