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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the structure of the set of bounded solutions on a periodic Liénard equation


Authors: Juan Campos and Pedro J. Torres
Journal: Proc. Amer. Math. Soc. 127 (1999), 1453-1462
MSC (1991): Primary 34C25, 54H20
Published electronically: January 29, 1999
MathSciNet review: 1625713
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Abstract: We describe the dynamics of a class of second order periodic differential equations whose main feature is a monotone nonlinearity. It is proved that the set of bounded solutions is homeomorphic to the graph of a decreasing function.


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Additional Information

Juan Campos
Affiliation: Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain
Email: jcampos@goliat.ugr.es

Pedro J. Torres
Affiliation: Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain
Email: ptorres@goliat.ugr.es

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05046-7
PII: S 0002-9939(99)05046-7
Received by editor(s): August 31, 1997
Published electronically: January 29, 1999
Additional Notes: This work was supported by D.G.E.S. PB95-1203, M.E.C., Spain, and E.E.C. project ERBCHRX-CT94-0555
Communicated by: Hal L. Smith
Article copyright: © Copyright 1999 American Mathematical Society