中文摘要：

利用上下解的方法和积分估计，研究了一类具有非局部源的快扩散方程组解熄灭的充分条件，证明当参数和初值满足一定条件时，解在有限时刻发生熄灭．

英文摘要：

The sufficient conditions for the extinction of solutions of a class of fast diffusion system with nonlocal sources were investigated, where the upper and lower solution method and integral estimates were used. It is shown that when the initial values and the parameters satisfy some conditions, the solution of the system extincts in finite time.