A Neumann problem for a system depending on the unknown boundary values of the solution

semilinear system of second order ODEs under Neumann conditions is studied. The system has the particularity that its nonlinear term depends on the (unknown) Dirichlet values y(0) and y(1) of the solution. Asymptotic and non-asymptotic sufficient conditions of Landesman-Lazer type for existence of s...

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Detalles Bibliográficos
Autor principal: Amster, Pablo Gustavo
Publicado: 2013
Materias:
Landesman-Lazer conditions
Nonlinear systems
Topological degree
Two-ion electro-diffusion models
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster
http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_14173875_v_n_p_Amster
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spelling paper:paper_14173875_v_n_p_Amster2023-06-08T16:13:32Z A Neumann problem for a system depending on the unknown boundary values of the solution Amster, Pablo Gustavo Landesman-Lazer conditions Nonlinear systems Topological degree Two-ion electro-diffusion models semilinear system of second order ODEs under Neumann conditions is studied. The system has the particularity that its nonlinear term depends on the (unknown) Dirichlet values y(0) and y(1) of the solution. Asymptotic and non-asymptotic sufficient conditions of Landesman-Lazer type for existence of solutions are given. We generalize our previous results for a scalar equation, and a well known result by Nirenberg for a standard nonlinearity independent of y(0) and y(1). Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p_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 Landesman-Lazer conditions
Nonlinear systems
Topological degree
Two-ion electro-diffusion models
spellingShingle Landesman-Lazer conditions
Nonlinear systems
Topological degree
Two-ion electro-diffusion models
Amster, Pablo Gustavo
A Neumann problem for a system depending on the unknown boundary values of the solution
topic_facet Landesman-Lazer conditions
Nonlinear systems
Topological degree
Two-ion electro-diffusion models
description semilinear system of second order ODEs under Neumann conditions is studied. The system has the particularity that its nonlinear term depends on the (unknown) Dirichlet values y(0) and y(1) of the solution. Asymptotic and non-asymptotic sufficient conditions of Landesman-Lazer type for existence of solutions are given. We generalize our previous results for a scalar equation, and a well known result by Nirenberg for a standard nonlinearity independent of y(0) and y(1).
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
author_sort Amster, Pablo Gustavo
title A Neumann problem for a system depending on the unknown boundary values of the solution
title_short A Neumann problem for a system depending on the unknown boundary values of the solution
title_full A Neumann problem for a system depending on the unknown boundary values of the solution
title_fullStr A Neumann problem for a system depending on the unknown boundary values of the solution
title_full_unstemmed A Neumann problem for a system depending on the unknown boundary values of the solution
title_sort neumann problem for a system depending on the unknown boundary values of the solution
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster
http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p_Amster
work_keys_str_mv AT amsterpablogustavo aneumannproblemforasystemdependingontheunknownboundaryvaluesofthesolution
AT amsterpablogustavo neumannproblemforasystemdependingontheunknownboundaryvaluesofthesolution
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