一类广义中立型Emden-Fowler方程的振动准则  

Oscillation Criterion of A Generalized Emden-Fowler Equation

作　　者：惠远先[1] 王俊杰[1] 

机构地区：[1]普洱学院数学系,云南普洱665000

出　　处：《海南大学学报（自然科学版）》2016年第4期330-337,共8页Natural Science Journal of Hainan University

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

摘　　要：研究了一类广义中立型Emden-Fowler方程的振动性质,通过构造广义Riccati变换得到了广义Riccati不等式,用积分平均技巧等方法,建立了保证方程一切解振动或者收敛到零的若干新的充分条件,所得结论推广和改进了最近文献中的若干结果,最后给出了若干例子来验证工作的有效性.In our report, the oscillation properties of a generalized neutral Emden-Fowler equation were analyzed. The generalized Riccati inequality was obtained by constructing the generalized Riccati transformation. The integral averaging technique was used to construct some new sufficient criterias which ensure that any solution of this equation will be oscillatory or conerge to zero. The conclusions extended and improved the results in recent literatures, and a number of examples were used to prove the efficiency.

关 键 词：广义中立型Emden-Fowler方程 广义Riccati变换 振动准则 

分 类 号：O29[理学—应用数学]