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A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION.

Authors :
Lie-Hui Zhang
Yong Wang
Source :
ANZIAM Journal. 2010, Vol. 51 Issue 3, p350-368. 19p. 2 Diagrams.
Publication Year :
2010

Abstract

Criteria for guaranteeing the existence, uniqueness and asymptotic stability (in the sense of Liapunov) of periodic solutions of a forced Liénard-type equation under certain assumptions are presented. These criteria are obtained by application of the Manásevich–Mawhin continuation theorem, Floquet theory, Liapunov stability theory and some analysis techniques. An example is provided to demonstrate the applicability of our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14461811
Volume :
51
Issue :
3
Database :
Academic Search Index
Journal :
ANZIAM Journal
Publication Type :
Academic Journal
Accession number :
55528252
Full Text :
https://doi.org/10.1017/S1446181110000805