Artículo
Periodic solutions of resonant systems with rapidly rotating nonlinearities
Fecha de publicación:
06/2011
Editorial:
Amer Inst Mathematical Sciences
Revista:
Discrete And Continuous Dynamical Systems
ISSN:
1078-0947
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We obtain existence of T -periodic solutions to a second order system of ordinary differential equations of the form u´´ + cu´ + g(u) = p where c ∈ R, p ∈ C(R,R^N) is T -periodic and has mean value zero, and g ∈ C(R^N,R^N) is e.g. sublinear. In contrast with a well known result by Nirenberg, where it is assumed that the nonlinearity g has non-zero uniform radial limits at infinity, our main result allows rapid rotations in g.
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Amster, Pablo Gustavo; Clapp, Mónica; Periodic solutions of resonant systems with rapidly rotating nonlinearities; Amer Inst Mathematical Sciences; Discrete And Continuous Dynamical Systems; 31; 2; 6-2011; 373-383
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