Global attractor of an impulsive parabolic system

1Perestyuk, MO, 1Kapustyan, OV, 1Romaniuk, IV
1Taras Shevchenko National University of Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 5:3-7
https://doi.org/10.15407/dopovidi2017.05.003
Section: Mathematics
Language: Ukrainian
Abstract: 

We study the existence of global attractors for impulsive multivalued dynamical systems, which have trajectories with infinite number of impulsive perturbations. The results are applied to a weakly nonlinear parabolic impulsive system.

Keywords: global attractor, impulsive multivalued dynamical system, impulsive perturbation, parabolic system
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