二阶非线性摄动微分方程的振动性与渐近性

J4 ›› 2009, Vol. 44 ›› Issue (9): 75-83.

二阶非线性摄动微分方程的振动性与渐近性

刘守华刘保东张全信

1. 滨州学院数学与信息科学系, 山东滨州 256603;  2. 山东大学数学学院, 山东济南 250100

收稿日期:2009-03-30 出版日期:2009-09-16 发布日期:2009-11-05
作者简介:刘守华(1961-)，男，副教授，研究方向为微分方程与动力系统. Email:bzxyshouhualiu@163.com

Oscillatory and asymptotic behavior for a second ordernonlinear differential equation with perturbation

LIU Shou-Hua, LIU Bao-Dong, ZHANG Quan-Shen

1. Department of Mathematics and Information Science, Binzhou University, Binzhou 256603, Shandong, China; 2. School of Mathematics, Shandong University, Jinan250100, Shandong, China

Received:2009-03-30 Online:2009-09-16 Published:2009-11-05

摘要/Abstract

摘要：

研究了一类二阶非线性摄动微分方程解的振动性与渐近性,建立了五个新的振动性与渐近性定理,推广和改进了已知的一些结果。

关键词: 二阶;非线性;摄动微分方程;振动性;渐近性

Abstract:

Some criteria for the oscillation and asymptotics of a class of the secondorder nonlinear differential equation with perturbation are studied. The results generalize the known results.

Key words: second order; nonlinear; differential equation with perturbation; oscillation; asymptotic

中图分类号:

O175

刘守华刘保东张全信. 二阶非线性摄动微分方程的振动性与渐近性[J]. J4, 2009, 44(9): 75-83.

LIU Shou-Hua, LIU Bao-Dong, ZHANG Quan-Shen. Oscillatory and asymptotic behavior for a second ordernonlinear differential equation with perturbation[J]. J4, 2009, 44(9): 75-83.

参考文献

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