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  • 张弘,严建明,罗桂烈.一类二阶线性微分方程的振动与非振动判定[J].广西科学,2004,11(4):289-290.    [点击复制]
  • Zhang Hong,Yan Jianming,Luo Guilie.Oscillation and Nonoscillation for A Class of Linear Differential Equations of Second Order[J].Guangxi Sciences,2004,11(4):289-290.   [点击复制]
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一类二阶线性微分方程的振动与非振动判定
张弘1, 严建明2, 罗桂烈2
0
(1.江苏大学理学院数学系, 江苏镇江 212013;2.广西师范大学数学与计算机科学学院, 桂林市育才路3号 541004)
摘要:
给出判定二阶线性微分方程(r(t)y'(t))'+b(t)y'(t)+a(t)y(t)=0的振动和非振动的条件.
关键词:  线性微分方程  振动  非振动  正常解  完全格  保序算子
DOI:
投稿时间:2004-03-23修订日期:2004-04-26
基金项目:
Oscillation and Nonoscillation for A Class of Linear Differential Equations of Second Order
Zhang Hong1, Yan Jianming2, Luo Guilie2
(1.Dept. of Math., Sci. Coll., Jiangsu Univ., Zhenjiang, Jiangsu, 212013, China;2.Coll. of Math. & Comp. Sci., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China)
Abstract:
Oscillation and nonoscillation criteria for a class of linear differential equations of second order are given.
Key words:  linear differential equations  oscillation  nonoscillation  proper solution  complete lattice  isotonous operator

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