Stability result of the Bresse system with delay and boundary feedback

Document Type : Original Article

Authors

Hocine Makheloufi ¹

Mounir Bahlil ¹

Abbes Benaissa ²

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.

Keywords

Bresse system

delay

global solutions

stability

damping

exponential decay

Subjects

• 35 Partial differential equations

---