摘要
研究一类具无限时滞的泛函微分方程的可解性和稳定性。其基本结果是：在某些条件下，非线性泛函微分方程解的指数稳定性可由解的有界性及线性部分的指数稳定性推出。
by means of the techniques of Liapunov functionals, axiom phase spaces and thetheory of semigroups of bounded linear operators,we study the solvabilities and satabilities for akind of abstract functional differential equations with infinite delay in abstract phase spaces whichsatisfy some fundamental axioms. Several fundamental results are obtained.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
1994年第1期8-14,共7页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金及云南省应用基础研究基金
关键词
无限时滞
泛函微分方程
可解性
Functional differential equations, infinite delay,local Lipschitz condition,C_o semigroup,solvability,stability.
