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二阶中立性微分方程的振动性质
引用本文:黄先勇.二阶中立性微分方程的振动性质[J].广东教育学院学报,2010(5):40-45.
作者姓名:黄先勇
作者单位:广东第二师范学院数学系,广东广州510303
摘    要:运用广义Riccati变换及均值技巧,建立了二阶中立性微分方程a(t)(x(t)|x(t)|α-1+p(t)x(τ(t)))′]′+F(t,x(g(t)))=0解的振动性质,推广及发展了现有的成果.

关 键 词:二阶  中立性微分方程  振动  广义Riccati变换  均值技巧

Oscillation Criteria for Certain Second Order Neutral Differential Equations
HUANG Xian-yong.Oscillation Criteria for Certain Second Order Neutral Differential Equations[J].Journal of Guangdong Education Institute,2010(5):40-45.
Authors:HUANG Xian-yong
Institution:HUANG Xian-yong (Department of Mathematics,Guangdong University of Education,Guangzhou,Guangdong,510303,P.R.China.)
Abstract:Using the generalized Riccati technique and the averaging technique,we establish several oscillation criteria for certain second order neutral differential equationa(t)(x(t)|x(t)|α-1+p(t)x(τ(t)))′]′+F(t,x(g(t)))=0which generalizes and improves some known results.
Keywords:second order  neutral differential equation  oscillation  generalized partial Riccati transformation  integral averaging technique
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