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

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

Abstract



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.

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