A weak invariance principle and asymptotic stability for evolution equations with bounded generators

A weak invariance principle and asymptotic stability for evolution equations with bounded generators

If V is a Lyapunov function of an equation du/dt=u′=Zu in a Banach space then asymptotic stability of an equilibrium point may be easily proved if it is known that sup(V′)<0 on sufficiently small spheres centered at the equilibrium point. In this paper weak asymptotic stability is proved for a bo...

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Bibliographic Details
Main Authors: E. N. Chukwu, P. Smoczynski
Format: Article
Language:English
Published: Hindawi Limited 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
asymptotic stability
invariance principle
Lyapunov functions.
Online Access:http://dx.doi.org/10.1155/S0161171295000317

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