A note on periodic solutions of a forced Liénard-type equation

Lie-Hui Zhang, Yong Wang

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.

doi:10.1017/S1446181110000805

Keywords


Liénard equation; periodic solution; existence; uniqueness; stability



DOI: http://dx.doi.org/10.21914/anziamj.v51i0.2342



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.