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 - <p>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.</p>