一类广义Emden-Fowler阻尼方程的振动结果

›› 2016, Vol. 1 ›› Issue (12): 6-13.

一类广义Emden-Fowler阻尼方程的振动结果

（普洱学院数学与统计学院，云南普洱665000）

收稿日期:2016-04-24 出版日期:2016-12-15 发布日期:2016-12-15
作者简介:吴波，副教授，主要从事微分方程、数理统计研究.

Oscillation Results of a Class of Generalized Emden-Fowler Equation with Damping

（College of Mathmatics and Statistic, Pu'er University, Pu'er, Yunnan 665000, China）

Received:2016-04-24 Online:2016-12-15 Published:2016-12-15

摘要/Abstract

摘要：

利用广义黎卡提变换和积分平均技巧给出了一类广义Emden-Fowler 阻尼方程的振动准则，建立了保证此类方程一切
解振动或者收敛到零的若干新的充分条件。

关键词: 广义Emden-Fowler 阻尼方程, 广义黎卡提变换, 振动准则

Abstract:

By using generalized Riccati transformation and integral averaging technique, this paper studies the oscillation of a class of
generalized Emden - Fowler equation with damping, and establishes some new sufficient conditions for equation oscillating or
converging to zero.

Key words: a generalized Emden-Fowler equation with damping, generalized Riccati transformation, oscillation criteria

中图分类号:

吴波. 一类广义Emden-Fowler阻尼方程的振动结果[J]. , 2016, 1(12): 6-13.

Wu Bo. Oscillation Results of a Class of Generalized Emden-Fowler Equation with Damping[J]. , 2016, 1(12): 6-13.