American Institute of Mathematical Sciences

September  2013, 18(7): 1793-1804. doi: 10.3934/dcdsb.2013.18.1793

Attractivity for neutral functional differential equations

 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, United Kingdom

Received  February 2013 Revised  March 2013 Published  May 2013

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.
Citation: Tomás Caraballo, Gábor Kiss. Attractivity for neutral functional differential equations. Discrete & Continuous Dynamical Systems - B, 2013, 18 (7) : 1793-1804. doi: 10.3934/dcdsb.2013.18.1793
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