Abstract This paper studies the weakly coupled beam-string system with boundary feedback control. First, under the appropriate hypothesis, it is proved that the well-posedness of the system by using the theory of linear operator semigroup. And then, it is showed that the energy of the weakly coupled beam-string system with boundary feedback control is uniform exponential decay by applying the frequence domain result on Hilbert space.
. Stability of the weakly coupled beam-string system with boundary feedback control. Applied Mathematics A Journal of Chinese Universities, 2016, 31(2): 185-193.