Attractors for impulsive non-autonomous dynamical systems and their relations

被引：20

作者：

Bonotto, E. M. ^{[1
]}

Bortolan, M. C. ^{[2
]}

Caraballo, T. ^{[3
]}

Collegari, R. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 668, Sao Carlos, SP, Brazil

[2] Univ Fed Santa Catarina, Dept Matemat, Campus Trindade, BR-88040900 Florianopolis, SC, Brazil

[3] Univ Seville, Dept Ecuac Diferenciales & Anal Numer EDAN, Seville, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 262卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

Impulsive non-autonomous dynamical systems; Skew-product semiflow; Global attractor; c-Global attractor; Uniform attractor; Cocycle attractor; DISSIPATIVE SEMIDYNAMICAL SYSTEMS; SKEW PRODUCT SEMIFLOWS; MORSE-DECOMPOSITION;

D O I：

10.1016/j.jde.2016.11.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous framework and we explore their relationships to obtain properties regarding the different scenarios of asymptotic dynamics, such as the cocycle attractor, the uniform attractor and the global attractor for the impulsive skew-product semiflow. Lastly, we illustrate our theory by exhibiting an example of a non-classical non-autonomous parabolic equation with subcritical nonlinearity and impulses. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：3524 / 3550

页数：27

共 28 条

[1]

[Anonymous], 2011, AMS MATH SURVEYS MON

[2]

[Anonymous], 2002, APPL MATH SCI

[3] NON-AUTONOMOUS MORSE-DECOMPOSITION AND LYAPUNOV FUNCTIONS FOR GRADIENT-LIKE PROCESSES [J].

Aragao-Costa, E. R. ;

Caraballo, T. ;

Carvalho, A. N. ;

Langa, J. A. .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (10) :5277-5312

[4] Flows of characteristic 0+ in impulsive semidynamical systems [J].

Bonotto, E. M. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (01) :81-96

[5] Global attractors for impulsive dynamical systems - a precompact approach [J].

Bonotto, E. M. ;

Bortolan, M. C. ;

Carvalho, A. N. ;

Czaja, R. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (07) :2602-2625

[6] Attractors of impulsive dissipative semidynamical systems [J].

Bonotto, E. M. ;

Demuner, D. P. .

BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (05) :617-642

[7] Topological conjugation and asymptotic stability in impulsive semidynamical systems [J].

Bonotto, E. M. ;

Federson, M. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) :869-881

[8]

Bonotto E.M., 2016, MATH METHODS APPL SC

[9]

Bonotto EM, 2013, TOPOL METHOD NONL AN, V41, P1

[10]

Bortolan .C., NONAUTONOMOUS PERTUR

← 1 2 3 →