WELL-POSEDNESS AND ASYMPTOTIC STABILITY OF SOLUTIONS TO A BRESSE SYSTEM WITH TIME VARYING DELAY TERMS AND INFINITE MEMORIES

Facta Universitatis. Series Mathematics and Informatics

Hakem Ali¹ 

[1] Faculté de technologie, département ST, université Djillali Liabès. 22000 Sidi Bel Abbes. ALGERIE.

关键词: Energy decay;    innite memories;    time varying delay terms;    Bresse system.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

We consider the Bresse system in bounded domain with timevarying delay terms in the internal feedbacks and innite memories acting in the three equations of the system. First, we prove the well-posedness of its solutions in Sobolev spaces by means of semigroup theory. Furthermore, the asymptotic stability is also discussed by using an appropriate Lyapunovfunctional. We consider the Bresse system in bounded domain with timevarying delay terms in the internal feedbacks and innite memories actingin the three equations of the system. First, we prove the well-posedness ofits solutions in Sobolev spaces by means of semigroup theory. Furthermore,the asymptotic stability is also discussed by using an appropriate Lyapunovfunctional.

【 授权许可】

Unknown