Blow up in a nonlinear viscoelastic wave equation with strong damping and variable sources

This paper is devoted to studying the finite-time blow-up in high initial energy for the solution of the nonlinear viscoelastic wave equation. u_{tt}-\Delta u+\int_0^tg(t-s)\Delta u(s)ds-\Delta u_{t}=|u|^{p(x)-2}u,in a bounded domain Our result improves the blow-up result in the previous work that was obtained by Le et al. (2023).