In this paper, we consider initial-boundary value problem of Euler–Bernoulli viscoelastic equation with a delay term in the internal feedbacks. Namely, we study the following equation
$$u_{tt}(x,t)+ \Delta^2 u(x,t)-\int\limits_0^t g(t-s)\Delta^2 u(x,s){\rm d}s+\mu_1u_t(x,t)+\mu_2 u_t(x,t-\tau)=0 $$
together with some suitable initial data and boundary conditions in
$${\Omega\times (0,+\infty)}$$
. For arbitrary real numbers μ
1 and μ
2, we prove that the above-mentioned model has a unique global solution under...