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On the structure of the set of bounded solutions on a periodic Liénard equation
Author(s):
Juan
Campos;
Pedro
J.
Torres
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1453-1462.
MSC (1991):
Primary 34C25, 54H20
Posted:
January 29, 1999
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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.
References:
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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:
10.1090/S0002-9939-99-05046-7
PII:
S 0002-9939(99)05046-7
Received by editor(s):
August 31, 1997
Posted:
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
Copyright of article:
Copyright
1999,
American Mathematical Society
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