Article ID Journal Published Year Pages File Type
4620163 Journal of Mathematical Analysis and Applications 2009 9 Pages PDF
Abstract

We study the twist periodic solutions of second order singular differential equations. Such twist periodic solutions are stable in the sense of Lyapunov and present much interesting dynamical features around them. The proof is based on the third-order approximation method. The estimates of periodic solutions of Ermakov–Pinney equations and the estimates on rotation numbers of Hill equations play an important role in the analysis.

Related Topics
Physical Sciences and Engineering Mathematics Analysis