Article citationsMore>>

Xia, J. and Wang, Z. (2007) Existence and Multiplicity of Periodic Solutions for the Duffing Equation with Singularity. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 137, 625-645.

has been cited by the following article:

• TITLE: Harmonic Solutions of Duffing Equation with Singularity via Time Map

  AUTHORS: Jing Xia, Suwen Zheng, Baohong Lv, Caihong Shan

  KEYWORDS: Harmonic Solutions, Duffing Equation, Singularity, Time Map, Poincaré-Bohl Theorem

  JOURNAL NAME: Applied Mathematics, Vol.5 No.10, June 3, 2014

  ABSTRACT: This paper is devoted to the study of second-order Duffing equation with singularity at the origin, where tends to positive infinity as , and the primitive function as . By applying the phase-plane analysis methods and Poincaré-Bohl theorem, we obtain the existence of harmonic solutions of the given equation under a kind of nonresonance condition for the time map.