Forced singular oscillators and the method of lower and upper solutions
Keywords
Repulsive singularity, upper and lower solutions, periodic solutionsAbstract
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.Downloads
Published
2003-12-01
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1.
BONHEURE, Denis and DE COSTER, Colette. Forced singular oscillators and the method of lower and upper solutions. Topological Methods in Nonlinear Analysis. Online. 1 December 2003. Vol. 22, no. 2, pp. 297 - 317. [Accessed 27 April 2024].
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