- - - Dicle University, Department of Mathematics, ۲۱۲۸۰ Diyarbakır, Turkey

In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearitiesu_{tt}-M(‖∇u‖²)△u+|u_{t}|^{p(x)-۲}u_{t}=|u|^{q(x)-۲}u.We proved the blow up of solutions in finite time by using modified energy functional method.

Blow up, Kirchhoff-type equation, Variable exponent