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Global asymptotic stability of nonautonomous systems of LieĀ“nard type

Authors :
Sugie, Jitsuro
Amano, Yusuke
Source :
Journal of Mathematical Analysis & Applications. Jan2004, Vol. 289 Issue 2, p673. 18p.
Publication Year :
2004

Abstract

This paper deals with nonautonomous Lie´nard-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. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022247X
Volume :
289
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
11733881
Full Text :
https://doi.org/10.1016/j.jmaa.2003.09.023