中山大学学报（自然科学版）2016，Vol.55Issue(6)：52-56,5.DOI:10.13471/j.cnki.acta.snus.2016.06.007
一类具阻尼项的三阶非线性中立型泛函微分方程的振动性
Oscillations of certain third order nonlinear neutral functional differential equations with damping
摘要
Abstract
The research on oscillation for general mechanical and electronic vibration mathematical mod-els,which are usually functional differential equations,has important implications in both theory and practice.The oscillation of third-order nonlinear neutral functional differential equations with continuous distributed delay and damping terms is studied.By using the generalized Riccati transformation,H-func-tion and integral averaging technique,some new sufficient conditions which insure that any solution of such equation oscillates or converges to zero are established.The corresponding known results are extend-ed and improved.关键词
三阶中立型方程/阻尼项/分布时滞/振动性Key words
third-order neutral equations/damping terms/distributed delay/oscillation分类
数理科学引用本文复制引用
林文贤..一类具阻尼项的三阶非线性中立型泛函微分方程的振动性[J].中山大学学报（自然科学版）,2016,55(6):52-56,5.基金项目
广东省高等教育教学改革资助项目（GDJG20142396）；广东省高等学校特色创新资助项目（2014GXJK125）；广东省自然科学基金资助项目 （）
