Portal de Periódicos da CAPES

Artigo Produção Nacional Revisado por pares

BIBTEX RIS

Asymptotic behavior to Bresse system with past history

2014; Brown University; Volume: 73; Issue: 1 Linguagem: Inglês

10.1090/s0033-569x-2014-01382-4

1552-4485

Mauro de Lima Santos, Abdelaziz Soufyane, Dilberto da Silva Almeida Júnior,

Differential Equations and Numerical Methods

In this paper we consider the Bresse system with past history acting in the shear angle displacement. We show the exponential decay of the solution if and only if the wave speeds are the same. On the contrary, we show that the Bresse system is polynomial stable with optimal decay rate. The systems of equations considered here introduce new mathematical difficulties in order to determine the asymptotic behavior. As far as the authors know, there have been no contributions made in this sense.