Title of article :
Global asymptotic stability of nonautonomous
systems of Liénard type
Author/Authors :
Jitsuro Sugie ?، نويسنده , , 1 and Yusuke Amano، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
Abstract :
This paper deals with nonautonomous Liénard-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.
2003 Elsevier Inc. All rights reserved.
Keywords :
Positive orbits , nonautonomous differential equations , Phase planeanalysis , Liénard system , Global asymptotic stability
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications