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二阶线性微分方程非振动的条件
引用本文:程崇高.二阶线性微分方程非振动的条件[J].黄冈师范学院学报,1997(4).
作者姓名:程崇高
作者单位:黄冈师专数学系!黄州,436100
摘    要:证明了一个微分恒等式.由此得到了一般二阶线性齐次方程非振动的充要条件;同时,还讨论了一般二阶线性非齐次方程非振动的充分条件.

关 键 词:线性微分方程  非振动  微分恒等式

THE CONDITIONS OF NONOSCILLATION FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATION
Cheng Chonggao.THE CONDITIONS OF NONOSCILLATION FOR SECOND ORDER LINEAR DIFFERENTIAL EQUATION[J].Journal of Huanggang Normal University,1997(4).
Authors:Cheng Chonggao
Abstract:In this paper, an identity,through which the necessary and sufficient condition is established for nonoscillation of second order linear homogeneous differential equations is proved. At the same time the sufficient conditions for nonoscillation of second order nonhomogeneous differential equationare discussed.
Keywords:linear differential equation  nonoscillation  differential identity  
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