容许空间中无限时滞中立型泛函微分方程零解的稳定性  

Asymptotic stability of solution for functional differential equation with infinite delay in admissible phase space

作　　者：魏凤英[1] 王克[2] 

机构地区：[1]福州大学数学与计算机科学学院,福州350002 [2]哈尔滨工业大学(威海)数学系,威海264209

出　　处：《黑龙江大学自然科学学报》2008年第1期78-80,共3页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10171010);国家自然科学青年基金项目(10201005);福建省自然科学基金资助项目(S0750007)

摘　　要：以相空间B为容许相空间,利用Liapunov泛函、D算子的一致稳定性和一致渐近稳定性,来研究一类无限时滞中立型泛函微分方程零解的稳定性;并在适当的条件下,得到该方程的零解是B一致稳定且B一致渐近稳定的结论。Phase space B was chosen as the admissible phase space, by using of Liapunov functional, the uniform stability and uniformly asymptotical stability of operator D, the stability of zero solution for neutral type functional differential equation with infinite delay was investigated. Under the suitable conditions, the authors obtained that the zero solutions of the functional differential equation were B uniformly stable and B uniformly asymptotically stable.

关 键 词：容许相空间B 稳定D算子 B-致稳定性 B-致渐近稳定性 

分 类 号：O175.12[理学—数学]