Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity

TWe prove the existence of T−periodic solutions for the second order non-linear equation u0 1 − u02 0 = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation between the degeneracy of the zeroes of the weight function and the order of...

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Autores principales: Amster, P., Zamora, M.
Formato: JOUR
Materias:
And phrases
Degree theory
Indefinite singularity
Leray-Schauder continuation theorem
Periodic solutions
Singular differential equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10780947_v38_n10_p4819_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_10780947_v38_n10_p4819_Amster2023-10-03T16:03:40Z Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity Amster, P. Zamora, M. And phrases Degree theory Indefinite singularity Leray-Schauder continuation theorem Periodic solutions Singular differential equations TWe prove the existence of T−periodic solutions for the second order non-linear equation u0 1 − u02 0 = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation between the degeneracy of the zeroes of the weight function and the order of one of the singularities of the non-linear term. The proof is based on the classical Leray-Schauder continuation theorem. Some applications to important mathematical models are presented. © 2018 American Institute of Mathematical Sciences. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10780947_v38_n10_p4819_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 And phrases
Degree theory
Indefinite singularity
Leray-Schauder continuation theorem
Periodic solutions
Singular differential equations
spellingShingle And phrases
Degree theory
Indefinite singularity
Leray-Schauder continuation theorem
Periodic solutions
Singular differential equations
Amster, P.
Zamora, M.
Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
topic_facet And phrases
Degree theory
Indefinite singularity
Leray-Schauder continuation theorem
Periodic solutions
Singular differential equations
description TWe prove the existence of T−periodic solutions for the second order non-linear equation u0 1 − u02 0 = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation between the degeneracy of the zeroes of the weight function and the order of one of the singularities of the non-linear term. The proof is based on the classical Leray-Schauder continuation theorem. Some applications to important mathematical models are presented. © 2018 American Institute of Mathematical Sciences. All rights reserved.
format JOUR
author Amster, P.
Zamora, M.
author_facet Amster, P.
Zamora, M.
author_sort Amster, P.
title Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
title_short Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
title_full Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
title_fullStr Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
title_full_unstemmed Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
title_sort periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
url http://hdl.handle.net/20.500.12110/paper_10780947_v38_n10_p4819_Amster
work_keys_str_mv AT amsterp periodicsolutionsforindefinitesingularequationswithsingularitiesinthespatialvariableandnonmonotonenonlinearity
AT zamoram periodicsolutionsforindefinitesingularequationswithsingularitiesinthespatialvariableandnonmonotonenonlinearity
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