Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 62, No. 1, pp. 13-24 (2005)

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Periodic solutions of a resonant higher order equation

P. Amster, P. De Nápoli and M.C. Mariani

Departamento de Matemática, FCEyN -- Facultad de Ciencias Exactas y Naturales,
Universidad de Buenos Aires, Buenos Aires -- ARGENTINA
CONICET -- Consejo Nacional de Investigaciones Científicas y Técnicas -- ARGENTINA
Departamento de Matemática, FCEyN -- Facultad de Ciencias Exactas y Naturales,
Universidad de Buenos Aires, Buenos Aires -- ARGENTINA
Department of Mathematics, New Mexico State University,
P.O. Box 30001, Las Cruces, NM 88003-8001 -- USA

Abstract: We study the existence of periodic solutions for an ordinary differential equation of resonant type. Under suitable conditions we prove the existence of at least one periodic solution of the problem applying Mawhin Coincidence degree theory.

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Electronic version published on: 7 Mar 2008.

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