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二阶泛函微分方程解的振动性判别准则
引用本文:程金发.二阶泛函微分方程解的振动性判别准则[J].信阳师范学院学报(自然科学版),2001(3):264-267.
作者姓名:程金发
作者单位:厦门大学数学系,福建,厦门,361005
摘    要:研究了二阶混合中立型泛函数微分方程d2/dt2x(t)+cx(t-h)+c*x(f+h*)]+qx(t-g)+px(t+g*)=0,这里c,c*,h,h*,P,q是实数,g和g*是正常数.并对其解的振动性建立了若干判别准则.本文结果改进了文1]中所有定理.

关 键 词:微分方程  中立型  振动性

Oscillation criteria for second order neutral functional differentia equations
Abstract.Oscillation criteria for second order neutral functional differentia equations[J].Journal of Xinyang Teachers College(Natural Science Edition),2001(3):264-267.
Authors:Abstract
Abstract:The second order neutral functional differential equations of mixed type:d2d2/dt2x(t) +cx (t-h) +c * x (t+h * )]+qx(t-g) +px(t+g * ) = 0is studied, where c,c*,h,h*, p, q are real numbers, g and g* are positive constants, and some new criterias for the oscillation of those equations are established. The results in this paper improve all theorems inl].
Keywords:differential equation  neutral  oscilliation
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