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脉冲中立型微分方程的振动性与渐近性
Oscillation and Asymptotic Behavior for Impulsive Neutral Differential Equations
【摘要】 本文讨论脉冲中立型微分方程的振动性与渐近性质,在脉冲扰动下的保持性,证明了:在一定的条件下,扰动系统与未扰系统具有相同的振动性与渐近性.
【Abstract】 This paper discusses the persistence of oscillation and asymptotic behavior for the neu- tral differential equation[x (t)+P(t)xt τ)]’ +Q(t)x(t σ)=0under impulsive perturbations. We prove that, under appropriate hypotheses, certain perturbed systemwill have the same oscillation and asymptotic behavior as that of the unperturbed system.
【关键词】 保持性;
振动性;
渐近性;
脉冲扰动;
中立型方程;
【Key words】 persistence oscillation; asymptotic behavior; impulsive perturbation; neutral equation;
【Key words】 persistence oscillation; asymptotic behavior; impulsive perturbation; neutral equation;
- 【文献出处】 湖南大学学报(自然科学版) ,JOURNAL OF HUNAN UNIVERSITY(NATURNAL SCIENCES) , 编辑部邮箱 ,1995年01期
- 【分类号】O175.2
- 【被引频次】9
- 【下载频次】37