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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Detalles Bibliográficos
Autores principales: Amster, Pablo Gustavo, De Napoli, Pablo Luis
Publicado: 2006
Materias:
Antimaximum principle
Fourth order periodic problems
Quasilinearization method
Upper and lower solutions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster
http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p1_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_14173875_v_n_p1_Amster2023-06-08T16:13:32Z An application of the antimaximum principle for a fourth order periodic problem Amster, Pablo Gustavo De Napoli, Pablo Luis 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. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster 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, Pablo Gustavo
De Napoli, Pablo Luis
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.
author Amster, Pablo Gustavo
De Napoli, Pablo Luis
author_facet Amster, Pablo Gustavo
De Napoli, Pablo Luis
author_sort Amster, Pablo Gustavo
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
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p1_Amster
http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p1_Amster
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