Busca avançada
Ano de início
Entree
Conteúdo relacionado


IMPULSIVE EVOLUTION PROCESSES: ABSTRACT RESULTS AND AN APPLICATION TO A COUPLED WAVE EQUATIONS

Texto completo
Autor(es):
Bonotto, Everaldo M. ; Nascimento, Marcelo J. D. ; Santiago, Eric B.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Advances in Differential Equations; v. 28, n. 7-8, p. 44-pg., 2023-07-01.
Resumo

The aim of this paper is to study the long-time behavior of impulsive evolution processes. We obtain qualitative properties for impulsive evolution processes, and we prove an existence result of impulsive pullback attractors. Additionally, we provide sufficient conditions to obtain the upper semicontinuity at zero for a family of impulsive pullback attractors. As an application, we study the asymptotic dynamics of the following non-autonomous coupled wave system subject to impulsive effects at variable times, given by the following evolution system (AU)

Processo FAPESP: 19/26841-8 - Estudo de problemas semilineares parabólicos e hiperbólicos não-autônomos
Beneficiário:Marcelo José Dias Nascimento
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 20/14075-6 - Sistemas dinâmicos e seus atratores sob perturbação
Beneficiário:Alexandre Nolasco de Carvalho
Modalidade de apoio: Auxílio à Pesquisa - Temático