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 %%formula%% which is isochronous (see [15]). As a particular case we obtain the existence of periodic solutions to a periodically perturbed Steen's planar system.

Positive periodic solutions for planar differential systems with repulsive singularities on the axes / Sfecci, Andrea. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 415:1(2014), pp. 110-120. [10.1016/j.jmaa.2013.12.068]

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

SFECCI, Andrea
2014-01-01

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 %%formula%% which is isochronous (see [15]). As a particular case we obtain the existence of periodic solutions to a periodically perturbed Steen's planar system.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/251301
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