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Asymptotic Behavior of Oscillatory Solutions of Forced Nonlinear Neutral Delay Differential Equations
引用本文:罗交晚,侯振挺,贺春田. Asymptotic Behavior of Oscillatory Solutions of Forced Nonlinear Neutral Delay Differential Equations[J]. 数学季刊, 1998, 0(2)
作者姓名:罗交晚  侯振挺  贺春田
作者单位:Department of Research,Changsha Railway University,Changsha,410075
摘    要:§1. IntroductionThispaperisconcernedwiththeasymptoticbehavioroftheoscillatorysolutionsofnonlin-earforcedneutraldelaydifferentialequationsoftheform[x(t)-∑mi=1pi(t)x(t-τi)]′ ∑nj=1qj(t)f(x(t-σj))=r(t), t≥t0,(1)wherepi,qj,r∈C([t0,∞),R),τi,σj≥0,i=1,2,…,m;j=1,2,…,n,f∈C(R,R),xf(x)>0forx≠0.Whenpi(t)≡0,i=1,2,…,m,Eq.(1)reducestox(t) ∑nj=1qj(t)f(x(t-σj))=r(t), t≥t0,(2)whoseasymptoticbehaviorofallsolutionshasbeenstudiedinJ.R.Yan[5].Whenr(t)≡0,f(x)≡xandm=n=1,Eq.(1)reducesto[…


Asymptotic Behavior of Oscillatory Solutions of Forced Nonlinear Neutral Delay Differential Equations
Luo Jiaowan Hou Zhenting He Chuntian. Asymptotic Behavior of Oscillatory Solutions of Forced Nonlinear Neutral Delay Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 1998, 0(2)
Authors:Luo Jiaowan Hou Zhenting He Chuntian
Abstract:
Keywords:oscillatory solution  nonlinear neutral equations  forced term  asymptotic behavior
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