Attractivity for neutral functional differential equations

Tomás Caraballo; Gábor Kiss

doi:10.3934/dcdsb.2013.18.1793

Article Contents

2013, Volume 18, Issue 7: 1793-1804. Doi: 10.3934/dcdsb.2013.18.1793

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Attractivity for neutral functional differential equations

Tomás Caraballo^1, and
Gábor Kiss^2,

1.
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Campus Reina Mercedes, Apdo. de Correos 1160, 41080 Sevilla
2.
Department of Mathematical Sciences, University of Durham, Durham DH1 3LE

Received: January 31, 2013

Revised: February 28, 2013

Published: August 2013

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Abstract

We study the long term dynamics of non-autonomous functional differential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional differential equations with time varying delays. The two main results differ in smoothness properties of delay functions.

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Mathematics Subject Classification: Primary: 37C30; Secondary: 34D45, 34K20.

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References

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