Two classical periodic problems on time scales

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: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10726691_v2007_n_p1_Amster
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spelling todo:paper_10726691_v2007_n_p1_Amster2023-10-03T16:02:47Z Two classical periodic problems on time scales Amster, P. Tisdell, C.C. Boundary value problem Existence of solutions Forced pendulum equation Landesman-lazer conditions Time scale 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10726691_v2007_n_p1_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 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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_10726691_v2007_n_p1_Amster
work_keys_str_mv AT amsterp twoclassicalperiodicproblemsontimescales
AT tisdellcc twoclassicalperiodicproblemsontimescales
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