Nonlinear dynamics of differential equations with attractive-repulsive singularities and small time-dependent coefficients

作者：Liu, Qihuai^*; Qian, Dingbian

来源：Mathematical Methods in the Applied Sciences, 2013, 36(2): 227-233.

DOI：10.1002/mma.2594

• nonlinear dynamic
• singular equation
• averaging method
• periodic solution

Motivated by some physical models with small parameters, in this paper, we proved the existence of periodic solutions (almost periodic solutions) for two classes of differential equations with attractiverepulsive singularities and small time-dependent coefficients by the averaging method and the implicit function theorem.

• 出版日期2013-1-30
• 单位桂林电子科技大学; 苏州大学