GLOBAL ATTRACTORS OF IMPULSIVE PARABOLIC INCLUSIONS

被引：18

作者：

Dashkovskiy, Sergey ^{[1
]}

Kapustyan, Oleksiy ^{[2
]}

Romaniuk, Iryna ^{[2
]}

机构：

[1] Univ Wurzburg, Inst Math, Emil Fischer Str 40, Wurzburg, Germany

[2] Taras Shevchenko Natl Univ Kyiv, Dept Math & Mech, Volodymyrska Str 60, UA-01033 Kiev, Ukraine

来源：

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

关键词：

Global attractor; multi-valued dynamical system; impulsive dynamical system; parabolic inclusion; REACTION-DIFFUSION EQUATIONS; SEMIDYNAMICAL SYSTEMS; DIFFERENTIAL-INCLUSIONS; ASYMPTOTIC-BEHAVIOR;

D O I：

10.3934/dcdsb.2017111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we consider an impulsive multi-valued dynamical system generated by a parabolic inclusion with upper semicontinuous right-hand side epsilon F(y) and with impulsive multi-valued perturbations. Moments of impulses are not fixed and defined by moments of intersection of solutions with some subset of the phase space. We prove that for sufficiently small value of the parameter epsilon > 0 this system has a global attractor.

引用

页码：1875 / 1886

页数：12

共 26 条

[1] Perturbations and Hopf bifurcation of the planar discontinuous dynamical system [J].

Akhmet, MU .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (01) :163-178

[2]

[Anonymous], 2003, UKR MATH J+, DOI DOI 10.1023/B:UKMA.0000010155.48722.F2

[3]

[Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892

[4]

[Anonymous], 2012, Infinite-dimensional dynamical systems in mechanics and physics, DOI 10.1007/978-1-4684-0313-8

[5]

BARBU V., 1976, Editura Academiei Republicii Socialiste Romania

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

Bonotto, E. M. .

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

[7] 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

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

Bonotto, E. M. ;

Demuner, D. P. .

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

[9]

Chepyzhov V. V., 2002, ATTRACTORS EQUATIONS, V49

[10]

Ciesielski K., 2004, Bulletin of the Polish Academy of Sciences, Technical Sciences, V52, P81, DOI 10.4064/ba52-1-9

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