Blow‐up of solution for beam equation with delay and dynamic boundary conditions.

In this paper, we consider an elastic beam equation with delay, source term, and boundary conditions together with some suitable initial data. Using the Faedo‐Galerkin approximation and some estimates, we get the local existence of solution. Moreover, we obtain the finite time blow‐up of solution by constructing suitable Lyapunov functionals. [ABSTRACT FROM AUTHOR]