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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p_Amster |
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todo:paper_14173875_v_n_p_Amster2023-10-03T16:13:12Z A Neumann problem for a system depending on the unknown boundary values of the solution Amster, P. Déboli, A. 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. 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_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, P. Déboli, A. 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). |
| format |
JOUR |
| author |
Amster, P. Déboli, A. |
| author_facet |
Amster, P. Déboli, A. |
| author_sort |
Amster, P. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_14173875_v_n_p_Amster |
| work_keys_str_mv |
AT amsterp aneumannproblemforasystemdependingontheunknownboundaryvaluesofthesolution AT debolia aneumannproblemforasystemdependingontheunknownboundaryvaluesofthesolution AT amsterp neumannproblemforasystemdependingontheunknownboundaryvaluesofthesolution AT debolia neumannproblemforasystemdependingontheunknownboundaryvaluesofthesolution |
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