Autonomous and non-autonomous attractors for differential equations with delays

被引:93
|
作者
Caraballo, T
Marín-Rubio, P
Valero, J
机构
[1] Univ Sevilla, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain
[2] Univ Cardenal Herrera, CEU, Alicante 03203, Spain
关键词
autonomous and non-autonomous (pullback) attractors; delay differential equations; integro-differential equations; non-uniqueness of solutions; multi-valued semiflows; multi-valued processes;
D O I
10.1016/j.jde.2003.09.008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The asymptotic behaviour of some types of retarded differential equations, with both variable and distributed delays, is analysed. In fact, the existence of global attractors is established for different situations: with and without uniqueness, and for both autonomous and non-autonomous cases, using the classical notion of attractor and the recently new concept of pullback one, respectively. (C) 2003 Elsevier Inc. All rights reserved.
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页码:9 / 41
页数:33
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