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Fonda, A. (1993) Periodic Solutions of Scalar Second-Order Differential Equations with a Singularity. Académie Royale de Belgique. Classe des Sciences. Mémoires, 8-IV, 68-98.

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.