# American Institute of Mathematical Sciences

March  2018, 23(2): 509-523. doi: 10.3934/dcdsb.2017195

## Pullback attractor for a dynamic boundary non-autonomous problem with Infinite Delay

 1 Departamento de Matemática, Centro de Ciências Exatas e de Tecnologia, Universidade Federal de São Carlos, Caixa Postal 676, 13.565-905 São Carlos SP, Brazil 2 Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160,41080-Sevilla, Spain

Received  February 2017 Revised  May 2017 Published  December 2017

Fund Project: This research was partially supported by Programa Ciência sem Fronteiras/CNPq 200493/2015- 9, Ministério da Ciência e Tecnologia, Brazil and by the projects MTM2015-63723-P (MINECO, Spain/ FEDER, EU) and P12-FQM-1492 (Junta de Andalucía).

In this work we prove the existence of solution for a p-Laplacian non-autonomous problem with dynamic boundary and infinite delay. We ensure the existence of pullback attractor for the multivalued process associated to the non-autonomous problem we are concerned.

Citation: Rodrigo Samprogna, Tomás Caraballo. Pullback attractor for a dynamic boundary non-autonomous problem with Infinite Delay. Discrete & Continuous Dynamical Systems - B, 2018, 23 (2) : 509-523. doi: 10.3934/dcdsb.2017195
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