三阶中立型半线性时滞微分方程的振动性  

OSCILLATORY RESULTS OF THIRD ORDER SEMILINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DELAY ARGUMENT

作　　者：惠远先[1] 王俊杰[1] 

机构地区：[1]普洱学院数学与统计学院,云南普洱665000

出　　处：《井冈山大学学报（自然科学版）》2017年第1期8-13,共6页Journal of Jinggangshan University (Natural Science)

基　　金：云南省教育厅基金项目(2015Y490);普洱学院科技创新团队项目(2015CXTD003);普洱学院校级课题(2015xjkt020)

摘　　要：研究了一类三阶中立型半线性时滞微分方程的振动性质。通过广义Riccati变换和不等式技巧,建立了保证此方程的一切解振动或者收敛到零的若干新的振动准则,推广和改进了近期文献的相关结论并给出了具体例子。We study the oscillatory criteria＇s of third order semilinear neutral differential equations with delay argument.Using a generalized Riccati inequality and integral averaging technique,some new sufficient criteria are established,which any solution of this equation will be oscillatory or converge to zero.The results can extend and improve the ones in recent literature.We also give a number of examples to prove their efficiency.

关 键 词：振动准则 三阶中立型半线性时滞微分方程 广义Riccati变换 

分 类 号：O175.25[理学—数学]