Stability result of the Bresse system with delay and boundary feedback

Document Type : Original Article

Authors

1 University of Mascara Mustapha Stambouli, Faculty of Exact Sciences, Department of Mathematics, P.O. Box 305, Mascara 29000, Algeria.

2 Laboratory of Analysis and Control of Partial Differential Equations, Djillali Liabes University, P. O. Box 89, Sidi Bel Abbes 22000, Algeria

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.

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Main Subjects

Khayyam Journal of Mathematics
Volume 6, Issue 2
July 2020
Pages 217-235

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