Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616071 | Journal of Mathematical Analysis and Applications | 2014 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Andrea Sfecci,