摘要
论文研究一类具有阻尼项的3阶半线性中立型泛函微分方程的振动性质,利用广义Riccati变换、平均不等式技巧和H-函数技巧,建立了保证该类方程的一切解Philos型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相应结果.
In this article, the oscillation of third-order half linear neutral damped functional differential equations was studied. By using the generalized Riccati transformation, the averaging inequality technique and H-function technique, some new sufficient conditions which insure that any solution to such equation oscillates or converges to zero was established. The corresponding results in known literature was extended and improved.
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2016年第6期1-4,共4页
Journal of Anhui University(Natural Science Edition)
基金
广东省高等教育教学改革项目(GDJG20142396)
广东省高等学校特色创新项目(2014GXJK125)
关键词
3阶泛函微分方程
阻尼项
Philos型振动
third-order functional differential equations
damping terms
Philos-type oscillation
