里卡蒂方法研究带泛函参数的非线性脉冲时滞双曲方程的振动性（英文）

OSCILLATION OF NONLINEAR IMPULSIVE DELAY HYPERBOLIC EQUATION WITH FUNCTIONAL ARGUMENTS VIA RICCATI METHOD

本文研究了带泛函参数的非线性脉冲时滞双曲方程的振动性问题.利用积分平均法和里卡蒂方法得到了这类方程解的振动性的一个充分条件,对非线性时滞双曲方程解的震动性进行了推广,能更好地利用一些现有的脉冲时滞常微分方程解的振动性的结论.

In this paper, we mainly deal with the oscillation problems of nonlinear impulsive hyperbolic equation with functional arguments. By using integral averaging method and a generalized Riccati technique, a sufficient condition for oscillation of the solutions of nonlinear impulsive hyperbolic equation with functional arguments is obtained. We can make better use of some existing conclusions about oscillation of the solutions of impulsive ordinary differential equations with delay.