Semifluxos generalizados impulsivos
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Universidade Federal do Espírito Santo
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This dissertation is an explanatory and self-contained text focused on the study of impulsive semidynamic systems when there is no guarantee of uniqueness of solutions, where we present the definition of impulsive generalized semiflow. The dissertation focuses on the study of global attractors and is mainly based on the article [6], where the Condition (T) is presented that guarantees the invariance of the global attractor and the continuity of the impact time function. Results from the article [7] are also included. Sufficient conditions are compared to guarantee the invariance of the global attractor, and examples that motivate the study of this topic are discussed.
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Impulsos, Semifluxo generalizado impulsivo, Dissipativos, Compacidade assintótica, Sistema semidinâmico impulsivo, Atrator, Invariância do atrator, Semifluxos multivalorados impulses, Impulsive generalized semiflows, Dissipatives asymptotic com pactness, Impulsive semidynamic system, Attractor, Attractor invariance, Multivalued semiflows
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