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Asymptotic and Oscillatory Behavior of Solutions of First Order Neutral Differential Equations
引用本文:王其如,李黎. Asymptotic and Oscillatory Behavior of Solutions of First Order Neutral Differential Equations[J]. 数学季刊, 1993, 8(2): 22-31
作者姓名:王其如  李黎
作者单位:Dept. of Math. Luoyang Teachers College),Zhengzhou Zhigong University
摘    要:
This paper has made researches on first order neutral differential equations with variable coefficients and several deviations. The asymptotic behavior of nonoscillatory solutions of the equations are discussed. Necessary and sufficient conditions and several sufficient conditions for the oscillations of the equations are obtained. The relevent results in [1—3] are improved and generalized .

关 键 词:一阶中立型微分方程  振动性解  渐近性  最终解  非振动解

Asymptotic and Oscillatory Behavior of Solutions of First Order Neutral Differential Equations
Wang Qiru. Asymptotic and Oscillatory Behavior of Solutions of First Order Neutral Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(2): 22-31
Authors:Wang Qiru
Affiliation:[1]Dept.ofMath.,LuoyangTeachersCollege [2]ZhengzhouZhigongUniversity,LuoyangTeachersCollege
Abstract:
This paper has made researches on first order neutral differential equations with varia-ble coefficients and several deviations.The asymptotic behavior of nonoscillatory solutions of the equations are discussed.Necessary and sufficient conditions and several sufficient conditions for the oscillations of the equations are obtained.The relevent results in [1-3] are improved and genera-lized.
Keywords:neutral equation  asymptotic bchavior  oscillation
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