一类具有连续分布的偏差变元的双曲型方程的振动准则

摘要

In this paper hyperbolic equations with continuous distributed deviating arguments are studied and sufficient conditions are obtained for every solution of certain boundary value problems to be oscillatory by reducing the multi-dimensional oscillation problems to one-dimensional problems. Conditions obtained extend and improve some existing results in the literature.%本文研究了连续分布偏差变元的双曲型方程,利用化多维振动问题为一维问题的方法,得到了某些边值问题的每一个解均为振动的充分条件.所得条件推广和改进了文献中的结果.