中文摘要：

使用折线逼近法,对具有两条边界影响的非凸单个守恒律初边值问题构造了整体近似解,并证明其收敛到初边值问题的整体弱熵解.

英文摘要：

By the polygonal approximation method,a global approximation solution is constructed for the initial-boundary value problem of nonconvex scalar conservation laws with two-side boundary effect,and its convergence to the global weak entropy solution of the corresponding problem is proved.