期刊
JOURNAL OF GEOMETRIC ANALYSIS
卷 30, 期 2, 页码 1412-1449出版社
SPRINGER
DOI: 10.1007/s12220-019-00143-0
关键词
Dynamical systems; Global attractors; invariance; state-dependent impulses; Generalized semiflows; Multivalued semiflows; Nonuniqueness of solutions
类别
This paper is devoted to the study of global attractors for problems with state-dependent impulses and possible nonuniqueness of solutions. We provide the criteria under which there exists the global attractor, being on one hand an invariant set, and on the other hand given by the difference of the minimal compact attracting set and the impulsive set M. The new condition (T) used to get the global attractor invariance is discussed and compared with other conditions used in literature for impulsive problems. The theory is illustrated by several examples.
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