A stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups

Electronic Journal of Differential Equations

卷:2006

关键词: Monotone;    semigroup;    Lyapounov function.;   

DOI  :  

来源: DOAJ

【 摘 要 】

It is known that a regularly Lyapounov function for a semigroup of contractions on a Hilbert spaceconverges to its minimum along the trajectories of the semigroup. In this paper we show that this Lyapounov function nearly converges to its minimumalong trajectories of the semigroup generated by a small bounded perturbation of the semigroup generator.

【 授权许可】

Unknown