Open Access Open Access  Restricted Access Subscription or Fee Access

Well-posedness and decay of solutions to Bresse system with internal distributed delay

L. Bouzettouta, S. Zitouni, Kh. Zennir, H. Sissaoui


We pursue the investigation started in a recent paper by (A. S. Nicaise and C. Pignotti, 2008) and later by (T. A. Apalara, 2014) concerning the wave equations driven by distributed delay term. Under more restrictive conditions on the weight of the distributed delay terms in the feedbacks, we prove the global existence of solutions for a one-dimensional linear Bresse system with internal distributed delay situated the first equation by means of semigroup theory in Sobolev spaces . Furthermore, we study the asymptotic behavior of solutions using the well known multiplier method.


Bresse system; delay terms; decay rate; multiplier method; distributed delay.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.