TY - JOUR T1 - Global Existence and Asymptotic Stability for the Initial Boundary Value Problem of the Linear Bresse System with a Time-Varying Delay Term AU - Mahdi , Fatima. Z. AU - Hakem , Ali JO - Journal of Partial Differential Equations VL - 2 SP - 93 EP - 111 PY - 2019 DA - 2019/07 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n2.1 UR - https://global-sci.org/intro/article_detail/jpde/13236.html KW - Semi group approach KW - Bresse system KW - energy decay. AB -

The authors of this paper study the Bresse system in bounded domain with delay terms. First, we prove the global existence of its solutions in Sobolev spaces by means of semigroup theory. Furthermore, the asymptotic stability is given by using an appropriate Lyapunov functional.