GLOBAL EXISTENCE AND ENERGY DECAY OF SOLUTIONS TO A BRESSE SYSTEM WITH DELAY TERMS AND INFINITE MEMORIES
FERHAT MOHAMED *
Department of Mathematics, USTO University, 22000 Oran, Algeria
HAKEM ALI
Laboratory ACEDP, Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria
*Author to whom correspondence should be addressed.
Abstract
We consider the Bresse system in bounded domain with delay terms in the internal feedbacks and innite memories acting in the three equations of the system. 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.
Keywords: Energy decay, innite memories, delay terms, bresse system