Existence, uniqueness, and stability of periodic solutions of an equation of Duffing type

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dc.creatorChen, Hongbin
dc.creatorLi, Yi
dc.date2007-03-27
dc.date.accessioned2026-07-07T07:54:14Z
dc.date.available2026-07-07T07:54:14Z
dc.descriptionWe consider a second-order equation of Duffing type. Bounds for the derivative of the restoring force are given which ensure the existence and uniqueness of a periodic solution. Furthermore, the unique periodic solution is asymptotically stable with sharp rate of exponential decay. In particular, for a restoring term independent of the variable $t$, a necessary and sufficient condition is obtained which guarantees the existence and uniqueness of a periodic solution that is stable.
dc.descriptionKey words and phrases: Periodic solution, topological degree, stability
dc.identifierhttps://arxiv.org/abs/math/0703817
dc.identifierhttp://arxiv.org/abs/math/0703817
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126526
dc.subjectClassical Analysis and ODEs
dc.subject34C25; 34C10
dc.titleExistence, uniqueness, and stability of periodic solutions of an equation of Duffing type
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