具无限时滞泛函微分方程解的稳定性与有界性

Boundedness and stability of solutions of functional differential equations with infinite delay

以空间Cg为相空间,通过构造合适的Liapunov泛函,在适当的条件下,得到了具有无限时滞泛函微分方程解的一致稳定性和一致渐近稳定性,所得结论与已有结果互不包含.

By chosing space Cg as the phase space and constructing the moderate Liapunov functional,the uniform stability and uniformly asymptotic stability of the solutions of functional differential equations with infinite delay are obtained under suitable conditions. The results are different from those given by Dishen and Wang,and they are non-inclusive each other.