Positive periodic solutions for planar differential systems with repulsive singularities on the axes

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Abstract

In this paper we provide an existence result of periodic solutions to planar systems having a repulsive singularity on both the axes. We require a nonresonance assumption, related to the spectrum of the periodic problem associated to the Steen's planar system{-y'=-cx3+μx,x'=-dy3+νy,x>0,y>0, which is isochronous (see [15]). As a particular case we obtain the existence of periodic solutions to a periodically perturbed Steen's planar system. © 2014 Elsevier Inc.

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APA

Sfecci, A. (2014). Positive periodic solutions for planar differential systems with repulsive singularities on the axes. Journal of Mathematical Analysis and Applications, 415(1), 110–120. https://doi.org/10.1016/j.jmaa.2013.12.068

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