STABILITY OF PERTURBED NEUTRAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS  

作　　者：Ye Haiping Gao GuozhuDept.of Appl.Math., Donghua Univ.,Shanghai 200051,China. 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2002年第3期267-272,共6页高校应用数学学报（英文版）（B辑）

基　　金：the Science Foundation of Donghua University

摘　　要：In this paper the perturbed neutral differential equation with positive and negative coefficientsddt[x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t 0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.In this paper the perturbed neutral differential equation with positive and negative coefficientsddt[x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t 0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.

关 键 词：neutral equation uniform stability asymptotic stability perturbing term. 

分 类 号：O175[理学—数学]