Harmonic Solutions of Duffing Equation with Singularity via Time Map

• 作者: Baohong Lv Caihong Shan Jing Xia Suwen Zheng
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: HARMONIC Solutions DUFFING Equation SINGULARITY Time Map Poincaré-Bohl THEOREM
• 年，卷（期）: yysxyw_2014,（10）
• 页码范围: 1528-1534
• 页数: 7页
• 分类号: O1

摘要

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.