Stability result of the Bresse system with delay and boundary feedback

Abstract

Our interest in this paper is to analyze the asymptotic<br /> behavior of a Bresse system together with three boundary controls,<br /> with delay terms in the first, second, and third equations.<br /> By using the semigroup method, we prove the global well-posedness of<br /> solutions. Assuming the weights of the delay are small, we establish<br /> the exponential decay of energy to the system by using an<br /> appropriate Lyapunov functional.