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In this paper we consider the nonexistence of global solutions of aKlein-Gordon equation of the form \begin{eqnarray*} u_{tt}-\Delta u+m^2u=f(u)&(t,x)\in [0,T)\times\R^n. \end{eqnarray*} Here $m\neq 0$ and the nonlinearpower $f(u)$ satisfies some assumptions which will be stated later. We give asufficient condition on the initial datum with arbitrarily high initial energysuch that the solution of the above Klein-Gordon equation blows up in a finitetime.

A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy