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Global asymptotic stability of nonautonomous systems of LieĀ“nard type
- 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]
- Subjects :
- *ASYMPTOTES
*LYAPUNOV functions
*DIFFERENTIAL equations
*MATHEMATICS
Subjects
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