广义中立型Emden-Fowler阻尼方程的振动准则  

Oscillation criteria for a generalized neutral Emden-Fowler equation with damping

作　　者：王俊杰[1,2] 李胜平[1] 

机构地区：[1]普洱学院数学系,云南普洱665000 [2]西北大学数学系,陕西西安710127

出　　处：《兰州理工大学学报》2015年第6期156-160,共5页Journal of Lanzhou University of Technology

基　　金：云南省教育厅基金(2013Y106)

摘　　要：研究一类广义中立型Emden-Fowler阻尼方程的振动准则.利用广义Riccati变换和分析技巧,得到广义中立型Emden-Fowler阻尼方程的一切解振动或者收敛到零的若干新的充分判断.所得结果推广和改进一些已知结果.Oscillatory criteria of a class of generalized neutral Emden-Fowler equations with damping are studied.By using generalized Riccati transformation and analysis technique,some new sufficient criteria are obtained,that any solution of this equation will be oscillatory or converge to zero.The results obtained have generalized and improved some known results.

关 键 词：广义中立型Emden-Fowler阻尼方程 振动 正解 非振动 

分 类 号：O29[理学—应用数学]