ASYMPTOTIC BEHAVIOR FOR NONAUTONOMOUS FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH MEASURES OF NONCOMPACTNESS

被引：3
|
作者：
Nguyen Van Dac [1 ]
Tran Dine Ke [2 ]
机构：
[1] Thuyloi Univ, Fac Comp Engn & Sci, 175 Tay Son, Hanoi, Vietnam
[2] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2017年 / 49卷 / 02期
关键词：
Measure of noncompactness; MNC estimate; functional differential inclusion; pullback attractor; condensing operator; LATTICE DYNAMICAL-SYSTEMS; GLOBAL ATTRACTORS; MULTIVALUED SEMIFLOWS; SUFFICIENT CONDITIONS; EQUATIONS; EXISTENCE;
D O I：
10.12775/TMNA.2016.078
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the asymptotic behavior of nonautonomous differential inclusions with delays in Banach spaces by analyzing their pullback attractors. Our aim is to give a recipe expressed by measures of noncompactness to prove the asymptotic compactness of the process generated by our system. This approach is effective for various differential systems regardless of the compactness of the semigroup governed by linear part.
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页码：383 / 400
页数：18
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