We provide a new suffcient condition for the coexis- tence of periodic and unbounded solutions to a planar differential system at resonance. The proof is performed by using a result on the existence of unbounded orbits of mappings in R2.

Coexistence of unbounded and periodic solutions to planar systems at resonance

CAPIETTO, Anna;DAMBROSIO, Walter
2009-01-01

Abstract

We provide a new suffcient condition for the coexis- tence of periodic and unbounded solutions to a planar differential system at resonance. The proof is performed by using a result on the existence of unbounded orbits of mappings in R2.
2009
Proceedings of the 6th International Conference on Differential Equations and Dynamical Systems,
Baltimore, Maryland, USA
May 22-26, 2008
Supplement
59
62
http://www.watsci.org/A/index.html
Planar system; resonance; periodic solutions; unbounded solutions; Poincare map.
A. Capietto; W. Dambrosio
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/56900
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