Attractors for a nonautonomous reaction-diffusion equation with delay

Autor: Harraga Hafidha, Yebdri Mustapha
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Applied Mathematics and Nonlinear Sciences, Vol 3, Iss 1, Pp 127-150 (2018)
Druh dokumentu: article
ISSN: 2444-8656
DOI: 10.21042/AMNS.2018.1.00010
Popis: In this paper, we discuss the existence and uniqueness of solutions for a non-autonomous reaction-diffusion equation with delay, after we prove the existence of a pullback 𝒟-asymptotically compact process. By a priori estimates, we show that it has a pullback 𝒟-absorbing set that allow us to prove the existence of a pullback 𝒟-attractor for the associated process to the problem.
Databáze: Directory of Open Access Journals