具有连续变量的脉冲型差分方程的振动性

Oscillation of impulsive difference equation with continuous variables

利用构造函数的方法,证明了一类具有连续变量的脉冲差分方程的振动性等价于一类非脉冲差分方程的振动性,得到了一个充分必要条件。应用这一结果给出了脉冲差分方程振动的显式判据。推广和改进了已有的结果。

Based on the constructing functions, it is proved that the impulsive difference equation with continuous variables has equivalent oscillation to the non-impulsive difference equation with continuous variables. The sufficient and necessary condition is obtained. The some simple criteria of oscillation for impulsive difference equation are gained using the proved results. The existing results are improved.