三阶中立型分布时滞阻尼微分方程的振动定理

An Oscillation Theorem for Third- Order Neutral Functional Differential Equations with A Damping Term and Distributed Delays

研究一类三阶非线性中立型阻尼泛函微分方程,利用Riccati变换和积分平均技巧,建立了保证该类方程的一切解振动或者收敛于零的若干新的充分条件,推广和改进最近文献的结果.

Using a generalized Riccati transformation and integral averaging technique, the oscillation of third - order nonlinear neutral damped functional differential equations with distributed delays was analyzed to es- tablish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero. The corresponding results in known literature are extended and improved.