Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 120, pp. 1-10.

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

Author: Renu Choudhary (Univ. of Auckland, New Zealand)
	 
Abstract: 
 It is known that a regularly Lyapounov function for a
 semigroup of contractions on a Hilbert space  converges
 to its minimum along the trajectories of the semigroup.
 In this paper we show that this Lyapounov function nearly
 converges to its minimum  along trajectories of the
 semigroup generated by a small bounded perturbation of
 the semigroup generator.
 
Submitted July 28, 2005. Published October 2, 2006.
Math Subject Classifications: 47H05, 47H20.
Key Words: Monotone; semigroup; Lyapounov function.