A stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups
Date
2006-10-02
Authors
Choudhary, Renu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Monotone, Semigroup, Lyapounov function
Citation
Choudhary, R. (2006). A stability theorem for convergence of a lyapounov function along trajectories of nonexpansive semigroups. <i>Electronic Journal of Differential Equations, 2006</i>(120), pp. 1-10.
Rights
Attribution 4.0 International