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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Autores principales: Amster, P., Clapp, M.
Formato: JOUR
Materias:
Leray-Schauder degree
Nonlinear systems
Periodic solutions
Rapidly rotating nonlinearities
Resonant problems
Acceso en línea: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
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spelling todo:paper_10780947_v31_n2_p373_Amster2023-10-03T16:03:38Z Periodic solutions of resonant systems with rapidly rotating nonlinearities Amster, P. Clapp, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Amster, P.
Clapp, M.
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.
format JOUR
author Amster, P.
Clapp, M.
author_facet Amster, P.
Clapp, M.
author_sort Amster, P.
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
url http://hdl.handle.net/20.500.12110/paper_10780947_v31_n2_p373_Amster
work_keys_str_mv AT amsterp periodicsolutionsofresonantsystemswithrapidlyrotatingnonlinearities
AT clappm periodicsolutionsofresonantsystemswithrapidlyrotatingnonlinearities
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