On attractors of multivalued semi-flows and differential inclusions

被引：219
作者：
Melnik, VS
Valero, J
机构：
[1] Inst Syst Appl Anal, UA-252056 Kiev, Ukraine
[2] Fdn Univ San Pablo, Elche 03203, Alicante, Spain
来源：
SET-VALUED ANALYSIS | 1998年 / 6卷 / 01期
关键词：
global attractor; multivalued dynamical systems; differential inclusions;
D O I：
10.1023/A:1008608431399
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence of global attractors for multivalued dynamical systems. These theorems are then applied to dynamical systems generated by differential inclusions for which the solution is not unique for a given initial state. Finally, some boundary-value problems are considered.
引用
收藏
页码：83 / 111
页数：29
相关论文
共 29 条
  • [1] [Anonymous], 1988, APPL MATH SCI
  • [2] [Anonymous], GEN TOPOLOGY
  • [3] Aubin J.-P., 1984, DIFFERENTIAL INCLUSI
  • [4] Aubin Jean-Pierre, 2009, Set-valued analysis
  • [5] Babin A.V., 1989, Attractors of Evolution Equations
  • [6] Babin A. V., 1986, Math. USSR-Sb., V54, P387
  • [7] BABIN AV, 1994, IZV RUSSIAN AKAD NAU, V58
  • [8] Barbu V., 1976, Nonlinear Semigroups and Differential Equations in Banach Spaces
  • [9] BORISOVICH AV, 1986, INTRO THEORY MULTIVA
  • [10] BREZIS H, 1972, J MATH PURE APPL, V51, P1
123