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二阶半线性中立型滞后阻尼微分方程解的振动性
引用本文:曾云辉.二阶半线性中立型滞后阻尼微分方程解的振动性[J].中央民族大学学报(自然科学版),2012,21(2):41-45,70.
作者姓名:曾云辉
作者单位:衡阳师范学院数学与计算科学系,湖南衡阳,421008
基金项目:衡阳师范学院青年科学基金资助项目
摘    要:研究了一类二阶半线性中立型阻尼微分方程的振动性,利用Yang不等式,广义Riccati变换和H函数,获得此类方程所有解振动的新的充分条件.

关 键 词:半线性微分方程  阻尼项  振动性

Oscillation of a Class of Second-order Half-linear Neutral Damped Differential Equation with Time-delay
ZENG Yun-hui.Oscillation of a Class of Second-order Half-linear Neutral Damped Differential Equation with Time-delay[J].Journal of The Central University for Nationalities(Natural Sciences Edition),2012,21(2):41-45,70.
Authors:ZENG Yun-hui
Institution:ZENG Yun-hui(Department of Mathematics and Computional Science,Hengyang Normal University,Hengyang,Hunan 421008,China)
Abstract:In this paper,Oscillation for a class of second-order half-linear neutral damped differential equation with time-delay is studied.By means of Yang-inequality,the generalized Riccati transformation and fuction H,some new sufficient conditions of oscillation are given for all solution of the equation.
Keywords:half-linear differential equation  damped term  oscillation  
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