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A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION.
- 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]
- Subjects :
- *LYAPUNOV stability
*EQUATIONS
*FLOQUET theory
*OSCILLATIONS
*NONLINEAR systems
Subjects
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