Invariance and stability of global attractors for multi-valued impulsive dynamical systems

DOI10.1016/J.JMAA.2017.09.001zbMath1378.37120OpenAlexW2751911275MaRDI QIDQ1674380

Oleksiy V. Kapustyan, Iryna Romaniuk, Sergey N. Dashkovskiy, P. V. Feketa

Publication date: 2 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.09.001

zbMATH Keywords

global attractorimpulsive perturbationmulti-valued dynamical system

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Ordinary differential equations with impulses (34A37) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Attractors of solutions to ordinary differential equations (34D45)

Related Items (10)

Uniform attractor for an \(N\)-dimensional parabolic system with impulsive perturbation ⋮ Long-time behavior for impulsive generalized semiflows ⋮ Robust stability of the attractor of a nonlinear wave equation without uniqueness of the solution ⋮ Dynamics of nonautomous impulsive multivalued processes ⋮ On attractors of generalized semiflows with impulses ⋮ A survey on the modeling of hybrid behaviors: how to account for impulsive jumps properly ⋮ Global attractor of multi-valued operators with applications to a strongly damped nonlinear wave equation without uniqueness ⋮ Existence and Invariance of Global Attractors for Impulsive Parabolic System Without Uniqueness ⋮ Stability of uniform attractors of impulsive multi-valued semiflows ⋮ Global attractors of mild solutions semiflow for semilinear parabolic equation without uniqueness

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