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ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATION
作者姓名:Liang  Ruixi  Peng  Jun  Shen  Jianhua
作者单位:Dept. of Math.,Hunan Normal University,Changsha 410081; Dept. of Math.,Central South University,Changsha 410083; Dept. of Math.,College of Huaihua,Huaihua 418008
基金项目:Supported by the NNSF of China (No.10571050) the Key Project of Chinese Ministry of Education.
摘    要:The boundedness of the every solution and the asymptotic behavior of all solutions of the nonlinear neutral delay differential equation x(t) - P(t)x(t - t)]' Q1 (t)f(x{t-σ1))-Q2(t)f(x(t -σ2))=0,t≥t0 are investigated, whereτ,σ1,σ2∈(0,∞), P∈C(t0,∞),R), and Q1,Q2∈C(t0,∞),R), f∈C(R,R). The sufficient conditions obtained improve the existing results in the literatures.

关 键 词:非线性  渐近行为  中立延迟微分方程  数学分析

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATION
Liang Ruixi Peng Jun Shen Jianhua.ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATION[J].微分方程年刊(英文版),2006,22(4):502-510.
Authors:Liang Ruixi Peng Jun Shen Jianhua
Institution:[1]Dept. of Math., Hunan Normal University, Changsha 410081 [2]Dept. of Math., Central South University, Changsha 410083 [3]Dept. of Math., College of Huaihua, Huaihua 418008
Abstract:
Keywords:nonlinear  asymptotic behavior  neutral delay differential equation
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