Attractors for impulsive non-autonomous dynamical systems and their relations

DOI10.1016/j.jde.2016.11.036zbMath1362.35326OpenAlexW2560713513MaRDI QIDQ501623

Matheus Cheque Bortolan, Rodolfo Collegari, Everaldo M. Bonotto, Tomás Caraballo Garrido

Publication date: 9 January 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/52711

zbMATH Keywords

global attractoruniform attractorcocycle attractorskew-product semiflowc-global attractorimpulsive non-autonomous dynamical systems

Mathematics Subject Classification ID

Attractors (35B41) Ordinary differential equations with impulses (34A37) Impulsive partial differential equations (35R12)

Related Items (17)

Stability and forward attractors for non-autonomous impulsive semidynamical systems ⋮ Unnamed Item ⋮ Impulsive evolution processes: abstract results and an application to a coupled wave equations ⋮ Long-time behavior for impulsive generalized semiflows ⋮ Dynamics of nonautomous impulsive multivalued processes ⋮ Well-posedness and dynamics of impulsive fractional stochastic evolution equations with unbounded delay ⋮ Topological entropy for discontinuous semiflows ⋮ Lyapunov stability for impulsive control affine systems ⋮ Unnamed Item ⋮ Upper and lower semicontinuity of impulsive cocycle attractors for impulsive nonautonomous systems ⋮ On initial and terminal value problems for fractional nonclassical diffusion equations ⋮ On attractors of generalized semiflows with impulses ⋮ Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices ⋮ Uniform attractors for a weakly damped wave equation with sup-cubic nonlinearity ⋮ Impulses in driving semigroups of nonautonomous dynamical systems: application to cascade systems ⋮ Pullback attractors to impulsive evolution processes: applications to differential equations and tube conditions ⋮ Existence of \(\mathcal{D}\)-pullback attractor for an infinite dimensional dynamical system

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