具多滞量和正负系数中立型微分方程解的渐近性质

数学物理学报 ›› 1998, Vol. 18 ›› Issue (S1): 119-124.

具多滞量和正负系数中立型微分方程解的渐近性质

陶有山, 高国柱

中国纺织大学上海 200051

收稿日期:1996-10-14 修回日期:1996-12-24 出版日期:1998-12-26 发布日期:1998-12-26

Asymptotic Behavior of Solutions for Neutral Differential Equation with Several Delay Arguments and Positive-negative Coefficients

Tao Youshan, Gao Guozhu

China Textile University, Shanghai 200051

Received:1996-10-14 Revised:1996-12-24 Online:1998-12-26 Published:1998-12-26

摘要/Abstract

摘要：

该文考虑多滞量和正负系数中立型方程
[x(t)-Σ_n=1^lC_A(t)x(t-r_n)]+Σ_i=l^mP_i(t)x(t-τ_i)-Σ_j=lⁿQ_j(t)x(t-σ_j)=0,其中C_A(k=1,…,l),P_i(i=1,…,m),Q_j(j=1…,n)∈C([t₀,∞),R⁺),0 ≤ τ_l < … < τ_m,0 ≤ σ₁ < … < σ_n,0 < r₁ < … < r_l.作者获得了当t→∞时,上面方程每个解都趋向于一个常数的充分条件.该文推广了文[5]的结果.

关键词: 中立型微分方程, 多滞量, 渐近性质

Abstract:

In this paper authors obtain sufficient conditions under which every solution of theneutral differential equations with several delay arguments and positive-negative coefficients
[x(t)-Σ _k=1^lC_k(t)x(t-r_k)]+Σ_i=1^mP_i(t)x(t-τ_i)-Σ_j=1ⁿQ_j(t)x(t-σ_j)=0,t ≥ t₀,tends to a constant as t→∞.This paper extends the result of[5] to the case of several delayarguments.

Key words: Neutral differential equation, several delay arguments, asymptotic behavior

陶有山, 高国柱. 具多滞量和正负系数中立型微分方程解的渐近性质[J]. 数学物理学报, 1998, 18(S1): 119-124.

Tao Youshan, Gao Guozhu. Asymptotic Behavior of Solutions for Neutral Differential Equation with Several Delay Arguments and Positive-negative Coefficients[J]. Acta mathematica scientia,Series A, 1998, 18(S1): 119-124.

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