ASYMPTOTIC BEHAVIOUR OF A NON-CLASSICAL AND NON-AUTONOMOUS DIFFUSION EQUATION CONTAINING SOME HEREDITARY CHARACTERISTIC

被引：20

作者：

Caraballo, Tomas ^{[1
]}

Marquez-Duran, Antonio M. ^{[2
]}

Rivero, Felipe ^{[3
]}

机构：

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Apdo Correos 1160, E-41080 Seville, Spain

[2] Univ Pablo de Olavide, Dept Econ Metodos Cuantitat & Hist Econ, Ctra Utrera,Km 1, Seville 41013, Spain

[3] Univ Fed Fluminense, Inst Matemat & Estat, Rua Mario Santos Braga S-N, BR-24020140 Niteroi, RJ, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 05期

关键词：

Delay equation; pullback attractor; nonautonomous problem; evolution process; nonclassical diffusion equation; ATTRACTORS; UNIQUENESS; EXISTENCE; DYNAMICS;

D O I：

10.3934/dcdsb.2017108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this work is the study of the existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation containing infinite delay terms. We also analyze the asymptotic behaviour of the system in the pullback sense and, under suitable additional conditions, we obtain global exponential decay of the solutions of the evolutionary problem to stationary solutions.

引用

页码：1817 / 1833

页数：17

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