Periodic solutions of systems with singularities of repulsive type

Motivated by the classical Coulomb central motion model, we study the existence of Tperiodic solutions for the nonlinear second order system of singular ordinary differential equations u'' + g(u) = p(t). Using topological degree methods, we prove that when the nonlinearity g : RN\\{0} ← RN...

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Autores principales: Amster, Pablo Gustavo, Maurette, Manuel
Publicado: 2011
Materias:
Periodic solutions
Repulsive singularities
Topological degree
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v11_n1_p201_Amster
http://hdl.handle.net/20.500.12110/paper_15361365_v11_n1_p201_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15361365_v11_n1_p201_Amster
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spelling paper:paper_15361365_v11_n1_p201_Amster2023-06-08T16:20:09Z Periodic solutions of systems with singularities of repulsive type Amster, Pablo Gustavo Maurette, Manuel Periodic solutions Repulsive singularities Topological degree Motivated by the classical Coulomb central motion model, we study the existence of Tperiodic solutions for the nonlinear second order system of singular ordinary differential equations u'' + g(u) = p(t). Using topological degree methods, we prove that when the nonlinearity g : RN\\{0} ← RN is continuous, repulsive at the origin and bounded at infinity, if an appropriate Nirenberg type condition holds then either the problem has a classical solution, or else there exists a family of solutions of perturbed problems that converge uniformly and weakly in H1 to some limit function u. Furthermore, under appropriate conditions we prove that u is a classical solution. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Maurette, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v11_n1_p201_Amster http://hdl.handle.net/20.500.12110/paper_15361365_v11_n1_p201_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 Periodic solutions
Repulsive singularities
Topological degree
spellingShingle Periodic solutions
Repulsive singularities
Topological degree
Amster, Pablo Gustavo
Maurette, Manuel
Periodic solutions of systems with singularities of repulsive type
topic_facet Periodic solutions
Repulsive singularities
Topological degree
description Motivated by the classical Coulomb central motion model, we study the existence of Tperiodic solutions for the nonlinear second order system of singular ordinary differential equations u'' + g(u) = p(t). Using topological degree methods, we prove that when the nonlinearity g : RN\\{0} ← RN is continuous, repulsive at the origin and bounded at infinity, if an appropriate Nirenberg type condition holds then either the problem has a classical solution, or else there exists a family of solutions of perturbed problems that converge uniformly and weakly in H1 to some limit function u. Furthermore, under appropriate conditions we prove that u is a classical solution.
author Amster, Pablo Gustavo
Maurette, Manuel
author_facet Amster, Pablo Gustavo
Maurette, Manuel
author_sort Amster, Pablo Gustavo
title Periodic solutions of systems with singularities of repulsive type
title_short Periodic solutions of systems with singularities of repulsive type
title_full Periodic solutions of systems with singularities of repulsive type
title_fullStr Periodic solutions of systems with singularities of repulsive type
title_full_unstemmed Periodic solutions of systems with singularities of repulsive type
title_sort periodic solutions of systems with singularities of repulsive type
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v11_n1_p201_Amster
http://hdl.handle.net/20.500.12110/paper_15361365_v11_n1_p201_Amster
work_keys_str_mv AT amsterpablogustavo periodicsolutionsofsystemswithsingularitiesofrepulsivetype
AT maurettemanuel periodicsolutionsofsystemswithsingularitiesofrepulsivetype
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