一类广义Emden-Fowler阻尼方程的振动准则  

Some oscillation results 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：《重庆文理学院学报（社会科学版）》2016年第5期19-23,共5页Journal of Chongqing University of Arts and Sciences（Social Sciences Edition)

基　　金：云南省教育厅基金项目(2015Y490);普洱学院校级科研创新团队项目(2015CXTD003);普洱学院课题(2015xjkt20)

摘　　要：文章研究一类广义Emden-Fowler阻尼方程的振动性质,利用广义Riccati变换和积分平均技巧,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.The purpose of this paper is to study the oscillation properties of a generalized Emden - Fowler equation with damping. Using a generalized Riccati transformation and integral averaging technique, some new sufficient criteria were established to insure that any solution of this equation oscillates or converges to zero. The results extend and improve the ones in recent literature.

关 键 词：广义Emden-Fowler阻尼方程 广义Riccati变换 振动准则 

分 类 号：O175.25[理学—数学]