Title

Existence, Uniqueness, and Stability of Periodic Solutions of an Equation of Duffing-Type

Document Type

Article

Publication Date

2007

Abstract

We 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 stab