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Resonance and non-resonance in a problem of boundedness

Acceso Abierto

Abstract:

This paper studies the existence of bounded solutions of a forced non-linear differential equation of arbitrary order. Necessary and sufficient conditions for the existence of such solutions are obtained. These results are inspired by classical results on the periodic problem, both in the resonant and non-resonant cases.

Tópico:

Differential Equations and Numerical Methods

Citaciones:

Citations: 22
22

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Información de la Fuente:

SCImago Journal & Country Rank
FuenteProceedings of the American Mathematical Society
Cuartil año de publicaciónNo disponible
Volumen124
Issue7
Páginas2089 - 2096
pISSNNo disponible
ISSN0002-9939

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Artículo de revista