Periodic solutions of resonant systems with rapidly rotating nonlinearities

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 ε R; p ε C(R;R N) is T-periodic and has mean value zero, and g ε C(RN;RN) is e.g. sublinear. In contrast with a well known result by Nirenbe...

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Detalles Bibliográficos
Publicado: 2011
Materias:
Leray-Schauder degree
Nonlinear systems
Periodic solutions
Rapidly rotating nonlinearities
Resonant problems
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10780947_v31_n2_p373_Amster
http://hdl.handle.net/20.500.12110/paper_10780947_v31_n2_p373_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10780947_v31_n2_p373_Amster
record_format dspace
spelling paper:paper_10780947_v31_n2_p373_Amster2023-06-08T16:05:33Z Periodic solutions of resonant systems with rapidly rotating nonlinearities Leray-Schauder degree Nonlinear systems Periodic solutions Rapidly rotating nonlinearities Resonant problems 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 ε R; p ε C(R;R N) is T-periodic and has mean value zero, and g ε C(RN;RN) is e.g. sublinear. In contrast with a well known result by Nirenberg [6], where it is assumed that the nonlinearity g has non-zero uniform radial limits at infinity, our main result allows rapid rotations in g. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10780947_v31_n2_p373_Amster http://hdl.handle.net/20.500.12110/paper_10780947_v31_n2_p373_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Leray-Schauder degree
Nonlinear systems
Periodic solutions
Rapidly rotating nonlinearities
Resonant problems
spellingShingle Leray-Schauder degree
Nonlinear systems
Periodic solutions
Rapidly rotating nonlinearities
Resonant problems
Periodic solutions of resonant systems with rapidly rotating nonlinearities
topic_facet Leray-Schauder degree
Nonlinear systems
Periodic solutions
Rapidly rotating nonlinearities
Resonant problems
description 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 ε R; p ε C(R;R N) is T-periodic and has mean value zero, and g ε C(RN;RN) is e.g. sublinear. In contrast with a well known result by Nirenberg [6], where it is assumed that the nonlinearity g has non-zero uniform radial limits at infinity, our main result allows rapid rotations in g.
title Periodic solutions of resonant systems with rapidly rotating nonlinearities
title_short Periodic solutions of resonant systems with rapidly rotating nonlinearities
title_full Periodic solutions of resonant systems with rapidly rotating nonlinearities
title_fullStr Periodic solutions of resonant systems with rapidly rotating nonlinearities
title_full_unstemmed Periodic solutions of resonant systems with rapidly rotating nonlinearities
title_sort periodic solutions of resonant systems with rapidly rotating nonlinearities
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10780947_v31_n2_p373_Amster
http://hdl.handle.net/20.500.12110/paper_10780947_v31_n2_p373_Amster
_version_ 1768541764930502656

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