Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities

We consider the initial boundary value problem for a Boussinesq-type equation with a logarithmic damping term and variable-exponent nonlinearities, which was introduced to describe some physical phenomena such as propagation of small amplitude and long waves on the surface of shallow water. The blow-up of solutions is proved for positive as well as negative initial energy.