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PERIODIC SOLUTIONS OF FORCED OSCILLATORS WITH SEVERAL DEGREES OF FREEDOM

Published online by Cambridge University Press:  22 May 2002

RAFAEL ORTEGA  and
LUIS A. SÁNCHEZ
RAFAEL ORTEGA
Affiliation:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain rortega@ugr.es lasperez@ugr.es
LUIS A. SÁNCHEZ
Affiliation:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain rortega@ugr.es lasperez@ugr.es
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Abstract

Results of the Landesman–Lazer type provide necessary and sufficient conditions for the existence of periodic solutions of certain nonlinear differential equations with forcing. Typically, they deal with scalar problems. This paper presents a discussion of possible extensions to systems. The emphasis is placed on the new phenomena produced by the increase of the dimension.

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Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 3 , May 2002 , pp. 308 - 318
Copyright
© The London Mathematical Society 2002

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