@article { author = {Makheloufi, Hocine and Bahlil, Mounir and Benaissa, Abbes}, title = {Stability result of the Bresse system with delay and boundary feedback}, journal = {Khayyam Journal of Mathematics}, volume = {6}, number = {2}, pages = {217-235}, year = {2020}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2020.109819}, abstract = {Our interest in this paper is to analyze the asymptotic behavior of a Bresse system together with three boundary controls, with delay terms in the first, second,  and third equations. By using the  semigroup method, we prove the global well-posedness of solutions. Assuming the weights of the delay are small, we establish the exponential decay of energy to the system by using an appropriate Lyapunov functional.}, keywords = {Bresse system,delay,global solutions,Stability,damping,exponential decay}, url = {https://www.kjm-math.org/article_109819.html}, eprint = {https://www.kjm-math.org/article_109819_a6fe24f2fbf18095d111f0f18897fdc8.pdf} }