应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2011年
2期
414-419
,共6页
非线性随机泛函微分系统%全局解%指数稳定性%渐近稳定性
非線性隨機汎函微分繫統%全跼解%指數穩定性%漸近穩定性
비선성수궤범함미분계통%전국해%지수은정성%점근은정성
Key words: Nonlinear stochastic functional differential system%Global solution%Exponential stability%Asymptotic stability
本文考虑了无限时滞的非线性随机泛函微分方程,作者在局部利普希茨条件和非线性增长条件下证明了全局解的存在唯一性,矩指数稳定性和渐近稳定性.
本文攷慮瞭無限時滯的非線性隨機汎函微分方程,作者在跼部利普希茨條件和非線性增長條件下證明瞭全跼解的存在唯一性,矩指數穩定性和漸近穩定性.
본문고필료무한시체적비선성수궤범함미분방정,작자재국부리보희자조건화비선성증장조건하증명료전국해적존재유일성,구지수은정성화점근은정성.
The paper takes nonlinear functional differential systems with infinite delay into account.The main aim is'to develop the existence,exponential stability and asymptotic stability of the global solution under the local Lipschitz condition and the nonlinear growth condition.
