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一类具有正负系数中立型方程振动的充要条件
引用本文:钟守铭.一类具有正负系数中立型方程振动的充要条件[J].电子科技大学学报(社会科学版),1991(2).
作者姓名:钟守铭
作者单位:电子科技大学应用数学系
摘    要:研究了一类具有正负系数的中立型方程的振动性,获得了方程的解振动的充分必要条件的简便代数判据,也获得了容易实现的解振动的充分性判据,改进并推广了文献2,4,9]的相应结果。

关 键 词:中立型方程  振动性  正系数  负系数  充要条件

THE NECESSARY AND SUFFICIENT CONDITION OF OSCILLATIONS OF NEUTRAL DELAY EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS
Zhong Shouming.THE NECESSARY AND SUFFICIENT CONDITION OF OSCILLATIONS OF NEUTRAL DELAY EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1991(2).
Authors:Zhong Shouming
Institution:Dept.of Applied Mathematics
Abstract:This paper studies the oscillations of first order neutral delay differential equa-tions with both positive and negative coefficients.Some necessary and sufficient condition forall solutions of equation to be oscillatory are obtained,and simple criterion for sufficient condi-tion of oscillations is given Theorems will be an improvement on references2,4,9].
Keywords:neutral equation  oscillation  positive coefficient  negative coefficient  necessary and sufficient condition
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