An application of the antimaximum principle for a fourth order periodic problem
We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaximum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratic...
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todo:paper_14173875_v_n_p1_Amster2023-10-03T16:13:12Z An application of the antimaximum principle for a fourth order periodic problem Amster, P. De Nápoli, P. Antimaximum principle Fourth order periodic problems Quasilinearization method Upper and lower solutions We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaximum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratically to a solution. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De Nápoli, 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_14173875_v_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 |
Antimaximum principle Fourth order periodic problems Quasilinearization method Upper and lower solutions |
spellingShingle |
Antimaximum principle Fourth order periodic problems Quasilinearization method Upper and lower solutions Amster, P. De Nápoli, P. An application of the antimaximum principle for a fourth order periodic problem |
topic_facet |
Antimaximum principle Fourth order periodic problems Quasilinearization method Upper and lower solutions |
description |
We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaximum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratically to a solution. |
format |
JOUR |
author |
Amster, P. De Nápoli, P. |
author_facet |
Amster, P. De Nápoli, P. |
author_sort |
Amster, P. |
title |
An application of the antimaximum principle for a fourth order periodic problem |
title_short |
An application of the antimaximum principle for a fourth order periodic problem |
title_full |
An application of the antimaximum principle for a fourth order periodic problem |
title_fullStr |
An application of the antimaximum principle for a fourth order periodic problem |
title_full_unstemmed |
An application of the antimaximum principle for a fourth order periodic problem |
title_sort |
application of the antimaximum principle for a fourth order periodic problem |
url |
http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p1_Amster |
work_keys_str_mv |
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1782024893091545088 |