Forced singular oscillators and the method of lower and upper solutions

Denis Bonheure, Colette De Coster

DOI: http://dx.doi.org/10.12775/TMNA.2003.041

Abstract


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.

Keywords


Repulsive singularity; upper and lower solutions; periodic solutions

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