Global asymptotic stability of nonautonomous systems of Lienard type

摘要

This paper deals with nonautonomous Lienard-type systems. Sufficient conditions are given for the zero solution of the systems to be globally asymptotically stable. The main result is proved by means of phase plane analysis with a Liapunov function. Examples are included to contrast our theorem with results which were presented by Hatvani and Cantarelli. Some global phase portraits are also attached. (C) 2003 Elsevier Inc. All rights reserved. [References: 16]