Stability of global attractors of impulsive infinite-dimensional systems. (English. Ukrainian original) Zbl 1427.35343
Ukr. Math. J. 70, No. 1, 30-41 (2018); translation from Ukr. Mat. Zh. 70, No. 1, 29-39 (2018).
Summary: We prove the stability of global attractor for an impulsive infinite-dimensional dynamical system. The obtained abstract results are applied to a weakly nonlinear parabolic equation whose solutions are subjected to impulsive perturbations at the times of crossing a certain surface of the phase space.
MSC:
| 35R12 | Impulsive partial differential equations |
| 37C75 | Stability theory for smooth dynamical systems |
| 35B25 | Singular perturbations in context of PDEs |
| 35B41 | Attractors |
| 35K91 | Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian |
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