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关于高阶变系数非线性时滞泛函微分方程
引用本文:杨万利.关于高阶变系数非线性时滞泛函微分方程[J].纯粹数学与应用数学,1994,10(2):64-69.
作者姓名:杨万利
作者单位:兰州大学
摘    要:本文中我们研究了如下高阶非线性时滞泛函微分方程解的振动性与渐适性.推广了目前关于线性高阶方程的相应结果.某些条件尚属首次给出.

关 键 词:泛函微分方程  非线性  变系数  时滞微分方程

ON THE HIGHER ORDER NONLINEAR DELAY FUNCTIONAL DIFFERENTIAL EQUATIONS
Yang Wanli.ON THE HIGHER ORDER NONLINEAR DELAY FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Pure and Applied Mathematics,1994,10(2):64-69.
Authors:Yang Wanli
Abstract:In this paper, we study the oscillation and asymptotic behavior of the higher order nonlinear delay functional difTerential equations Here, we obtain some conditions that ensure the soluhons of (1) to be nonscillatory or oscillatory. We extend some former results which have been obtained for linear higher order delay functional dmerential equahons.In this paper, we also discuss the asymptohe of the bounded solutions for(1).
Keywords:Oscillatory behavior  Asymptotic behavior  Delay functional differentialEquations
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