Asymptotic Behavior of Nonlinear Delay Functional-Differential System under Impulsive Perturbations

薛亚奎; 白爱民

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Asymptotic Behavior of Nonlinear Delay Functional-Differential System under Impulsive Perturbations

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- Asymptotic Behavior of Nonlinear Delay Functional-Differential System under Impulsive Perturbations
- 非线性脉冲时滞泛函微分系统的渐近性
- Issue 1, Pages: 15-17(2004)
- 作者机构：
  
  1. 山西五寨,036200
  2. 华北工学院应用数学系,山西,太原,030051
  3. 五寨师范学校,山西,太原,030051
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2004
- 稿件说明：
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薛亚奎, 白爱民. Asymptotic Behavior of Nonlinear Delay Functional-Differential System under Impulsive Perturbations[J]. 2004, (1): 15-17.
DOI：

薛亚奎, 白爱民. Asymptotic Behavior of Nonlinear Delay Functional-Differential System under Impulsive Perturbations[J]. 2004, (1): 15-17. DOI：

摘要

　利用比较原理与序列极限的方法讨论了线性时滞泛函微分系统在非线性脉冲下的扰动

研究了非线性脉冲时滞泛函微分系统解的渐近性.得到了线性时滞泛函微分系统在非线性脉冲扰动下系统的所有解都渐近吸引的充分性条件.

Abstract

Using the comparison principle and serial limit process

the perturbation of linear delay functional differential systems under nonlinear impulsive is discussed and the asymptotic behavior of solution for nonlinear delay functional-differential system under impulsive perturbations is studied. Sufficient conditions for asymptotic property of all solutions to linear delay functional-differential systems under linear impulsive perturbations are obtained.

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references

　ShenJH,WanZC.OscillationandAsymptoticbehavionofsolutionsofdelaydifferentialsystemswithimpules[J].Ann.ofDiff.Eqs,1994,(10):61-68.

　ChenMP,YuJS,ShenJH.Thepersistenceofnonoscillatorysolutionsofdelaydifferentialsystemsunderimpul-siveperturbations[J].ComputerMath,Ana,1994,127:1-6.

　GopalsamyK,ZhanmgBG.Ondelaydifferentialsystemswithimpulsive[J].GJ.Math,AnalandAppl,1989,139:110-122.

　薛亚奎,郑永红.非线性脉冲时滞泛函微分系统的非振动性[J].华北工学院学报,2000,21(3):226-228.

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Asymptotic Behavior of Forced Sub-Linear Delay Differential System under Linear Impulsive Perturbations

一类次线性脉冲时滞微分系统的渐近性

脉冲微分动力系统的比较原理

非线性脉冲时滞泛函微分系统的非振动性

一类带强迫项的中立型方程非振动解的渐近性

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Related Institution

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