Two classical periodic problems on time scales

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We consider the generalization of two classical periodic problems to the context of time scales. On the one hand, we generalize a celebrated result by Castro for the forced pendulum equation. On the other hand, we extend a well-known result by Nirenberg to a resonant system of equations on time scal...

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Autores principales: Amster, P., Tisdell, C.C.
Formato: Artículo publishedVersion
Publicado: 2007
Materias:
Boundary value problem
Existence of solutions
Forced pendulum equation
Landesman-lazer conditions
Time scale
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2007_n_p1_Amster
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2007_n_p1_Amster_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
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spelling I28-R145-paper_10726691_v2007_n_p1_Amster_oai2024-08-16 Amster, P. Tisdell, C.C. 2007 We consider the generalization of two classical periodic problems to the context of time scales. On the one hand, we generalize a celebrated result by Castro for the forced pendulum equation. On the other hand, we extend a well-known result by Nirenberg to a resonant system of equations on time scales. Furthermore, the results are new even for classical difference equations. © 2007 Texas State University. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_10726691_v2007_n_p1_Amster info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Electron. J. Differ. Equ. 2007;2007:1-12 Boundary value problem Existence of solutions Forced pendulum equation Landesman-lazer conditions Time scale Two classical periodic problems on time scales info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2007_n_p1_Amster_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic Boundary value problem
Existence of solutions
Forced pendulum equation
Landesman-lazer conditions
Time scale
spellingShingle Boundary value problem
Existence of solutions
Forced pendulum equation
Landesman-lazer conditions
Time scale
Amster, P.
Tisdell, C.C.
Two classical periodic problems on time scales
topic_facet Boundary value problem
Existence of solutions
Forced pendulum equation
Landesman-lazer conditions
Time scale
description We consider the generalization of two classical periodic problems to the context of time scales. On the one hand, we generalize a celebrated result by Castro for the forced pendulum equation. On the other hand, we extend a well-known result by Nirenberg to a resonant system of equations on time scales. Furthermore, the results are new even for classical difference equations. © 2007 Texas State University.
format Artículo
Artículo
publishedVersion
author Amster, P.
Tisdell, C.C.
author_facet Amster, P.
Tisdell, C.C.
author_sort Amster, P.
title Two classical periodic problems on time scales
title_short Two classical periodic problems on time scales
title_full Two classical periodic problems on time scales
title_fullStr Two classical periodic problems on time scales
title_full_unstemmed Two classical periodic problems on time scales
title_sort two classical periodic problems on time scales
publishDate 2007
url http://hdl.handle.net/20.500.12110/paper_10726691_v2007_n_p1_Amster
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10726691_v2007_n_p1_Amster_oai
work_keys_str_mv AT amsterp twoclassicalperiodicproblemsontimescales
AT tisdellcc twoclassicalperiodicproblemsontimescales
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