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.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
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)
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
admissible phase space
stable D operator
B uniform stability
B uniformly asymptotical stability
