期刊
NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 40, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2021.101025
关键词
Attractors; Impulsive systems; Stability; Infinite dimensional multivalued semiflows; Nonlinear parabolic systems
资金
- German Research Foundation (DFG) through the grant ``Stability and robustness of attractors of non-linear infinite-dimensional systems with respect to disturbances [DA 767/12-1]
This paper investigates the stability of uniformly attracting sets for semiflows generated by impulsive infinite-dimensional dynamical systems without uniqueness, and applies the abstract results to weakly nonlinear parabolic systems with trajectories that have jumps at moments of intersection with certain surfaces in the phase space.
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. (C) 2021 Elsevier Ltd. All rights reserved.
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