Article ID Journal Published Year Pages File Type
4612227 Journal of Differential Equations 2007 11 Pages PDF
Abstract

In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a periodic solution. Furthermore, the stability of the unique periodic solution is analyzed; the sharp rate of exponential decay is determined for a solution that is near to the unique periodic solution.

Related Topics
Physical Sciences and Engineering Mathematics Analysis