Existence and stability of periodic solutions for second-order semilinear differential equations with a singular nonlinearity

被引：0
|
作者：
Torres, Pedro J. [1 ]
机构：
[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2007年 / 137卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that a periodically forced second-order equation with a singular nonlinearity in the origin with linear growth in infinity possesses a T-periodic stable solution for high values of the mean value of the forcing term. The method of proof combines a rescaling argument with the analysis of the first twist coefficient of the Birkhoff normal form for the Poincare map.
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页码：195 / 201
页数：7
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