中文摘要：

这份报纸通过一个边界控制器为一个维的线性退化波浪方程被奉献给空可控制性问题的研究。首先，线性退化波浪方程的 well-posedness 被讨论。然后，一些退化波浪方程的空可控制性被建立，当控制对非退化的边界起作用时。与在控制在退化边界上扮演的情况中的已知的可控制性结果不同，在州的空格的任何起始的值在这种情况中是可控制的。另外，在可控制性时间的明确的表情被给。而且，可控制性上的一个反例为一些另外的退化波浪方程被给。

英文摘要：

This paper is devoted to a study of the null controllability problems for one-dimensional linear degenerate wave equations through a boundary controller. First, the well-posedness of linear degenerate wave equations is discussed. Then the null controllability of some degenerate wave equa- tions is established, when a control acts on the non-degenerate boundary. Different from the known controllability results in the case that a control acts on the degenerate boundary, any initial value in state space is controllable in this case. Also, an explicit expression for the controllability time is given. Furthermore, a counterexample on the controllability is given for some other degenerate wave equations.