偶阶半线性阻尼泛函微分方程的振动性

Oscillation of Even Order Half-Linear Functional Differential Equations with Damping

研究了一类含有连续分布时滞和阻尼项的偶数阶中立型半线性微分方程,运用Riccati变换和H函数法,获得了该方程一切解均为振动的若干新的振动准则,推广和改进了已有文献的主要结果.

By using Riccati transformation and methods of H function,this paper studies a class of even order half-linear differential equations with continuous distributed delay arguments and damping terms.As a result,all the solutions of the equations are the new oscillation criteria,which has promoted and improved the main results of the existing literature.