关键词: 阻尼项, 拟线性微分方程, 振动判据

Abstract:

W ith the help of Young inequality and HiSld inequality,the oscillatory property of a class of quasi-linear differential equations is investigated by using the Riccati-type transformation and the method of H function.The in-tegral conditions for the oscillation of all the solutions of the equations are also given.Thus,the corresponding re-suits in recent literatures are generalized and improved.By choosing appropriate functions H and Φ ,one can derive
a number of explicit oscillation criteria.Even for the equation without damping,the coresponding results are still different from the form er ones．An example is finally presented to show the validity of the main theorems.

Key words: damping, quasi-linear differential equation, oscillation criterion