Forced singular oscillators and the method of lower and upper solutions
Forced singular oscillators and the method of lower and upper solutions
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DOI：
10.12775/tmna.2003.041
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发表时间：
2003-12
影响因子：
0.7
通讯作者：
D. Bonheure;C. Coster
中科院分区：
文献类型：
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作者：
D. Bonheure;C. Coster
在本文中，我们研究二阶微分方程\(u'' + g(u)u' + f(t,u) = h(t)\)正周期解的存在性，其中\(f(t,\cdot)\)在原点处具有排斥型奇点。我们使用上下解方法。
In this note, we study the existence of positive periodic solutions of the second order differential equation $$ u''+g(u)u'+f(t,u)=h(t) $$ where $f(t,\cdot)$ has a singularity of repulsive type at the origin. We use the method of lower and upper solutions.