一类二阶非线性摄动微分方程解的渐近性质  

Asymptotic behavior of nonoscillatory solutions of second order nonlinear differential equation with perturbation

作　　者：宋霞[1,2] 刘保东[1] 张全信[2] 

机构地区：[1]山东大学数学学院,山东济南250100 [2]滨州学院数学与信息科学系,山东滨州256603

出　　处：《山东大学学报（理学版）》2009年第2期19-23,共5页Journal of Shandong University(Natural Science)

摘　　要：研究了一类二阶非线性摄动微分方程非振动解的渐近性质,建立了三个新的渐近性定理,推广和改进了一些已知的结果。The asymptotic behavior of nonoscillatory solutions of a class of second order nonlinear differential equation with perturbation was studied, three new asymptotic theorems were established, and some known results were extended and improved.

关 键 词：摄动微分方程 渐近性质 非振动解 

分 类 号：O175[理学—数学]