Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities

We study the existence of periodic solutions for a nonlinear system of second order ordinary differential equations. Assuming suitable conditions, we prove the existence of at least one solution applying topological degree methods. Instead of a Nirenberg type condition, we shall assume that each coo...

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Detalles Bibliográficos
Autor principal: Amster, P.
Formato: JOUR
Materias:
Landesman-lazer conditions
Nonlinear second order systems
Periodic solutions
Rapid oscillations
Topological degree methods
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_12013390_v19_n5_p535_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_12013390_v19_n5_p535_Amster
record_format dspace
spelling todo:paper_12013390_v19_n5_p535_Amster2023-10-03T16:08:56Z Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities Amster, P. Landesman-lazer conditions Nonlinear second order systems Periodic solutions Rapid oscillations Topological degree methods We study the existence of periodic solutions for a nonlinear system of second order ordinary differential equations. Assuming suitable conditions, we prove the existence of at least one solution applying topological degree methods. Instead of a Nirenberg type condition, we shall assume that each coordinate of the nonlinearity satisfies a one-side Landesman-Lazer type condition, but it might present rapid oscillations on the other side. Copyright © 2012 Watam Press. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_12013390_v19_n5_p535_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 Landesman-lazer conditions
Nonlinear second order systems
Periodic solutions
Rapid oscillations
Topological degree methods
spellingShingle Landesman-lazer conditions
Nonlinear second order systems
Periodic solutions
Rapid oscillations
Topological degree methods
Amster, P.
Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities
topic_facet Landesman-lazer conditions
Nonlinear second order systems
Periodic solutions
Rapid oscillations
Topological degree methods
description We study the existence of periodic solutions for a nonlinear system of second order ordinary differential equations. Assuming suitable conditions, we prove the existence of at least one solution applying topological degree methods. Instead of a Nirenberg type condition, we shall assume that each coordinate of the nonlinearity satisfies a one-side Landesman-Lazer type condition, but it might present rapid oscillations on the other side. Copyright © 2012 Watam Press.
format JOUR
author Amster, P.
author_facet Amster, P.
author_sort Amster, P.
title Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities
title_short Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities
title_full Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities
title_fullStr Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities
title_full_unstemmed Solvability of weakly coupled second order systems with rapidly oscillating nonlinearities
title_sort solvability of weakly coupled second order systems with rapidly oscillating nonlinearities
url http://hdl.handle.net/20.500.12110/paper_12013390_v19_n5_p535_Amster
work_keys_str_mv AT amsterp solvabilityofweaklycoupledsecondordersystemswithrapidlyoscillatingnonlinearities
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