Stability of uniform attractors of impulsive multi-valued semiflows. (May 2021)

• Record Type: Journal Article
• Authors: Dashkovskiy, Sergey; Kapustyan, Oleksiy; Perestyuk, Yuriy
• Is Part Of: Nonlinear analysis. Volume 40(2021)
• Publication Date: 2021-05
• Subjects: Attractors -- Impulsive systems -- Stability -- Infinite dimensional multivalued semiflows -- Nonlinear parabolic systems; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101025
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper we investigate stability of uniformly attracting sets for semiflows generated by impulsive infinite-dimensional dynamical systems without uniqueness. Obtained abstract results are applied to weakly nonlinear parabolic system, whose trajectories have jumps at moments of intersection with certain surface in the phase space.