Artículo
Amster, P.; Déboli, A. "A Neumann problem for a system depending on the unknown boundary values of the solution" (2013) Electronic Journal of Qualitative Theory of Differential Equations
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Abstract:
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).
Registro:
| Documento: | Artículo |
| Título: | A Neumann problem for a system depending on the unknown boundary values of the solution |
| Autor: | Amster, P.; Déboli, A. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina |
| Palabras clave: | Landesman-Lazer conditions; Nonlinear systems; Topological degree; Two-ion electro-diffusion models |
| Año: | 2013 |
| Título revista: | Electronic Journal of Qualitative Theory of Differential Equations |
| Título revista abreviado: | Electron. J. Qual. Theor. Differ. Equ. |
| ISSN: | 14173875 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster |
Referencias:
- Amster, P., Clapp, M., Periodic solutions of resonant systems with rapidly rotating nonlinearities (2011) Differential Equations and Dynamical Systems, Series A 31 No., 2, pp. 373-383
- Amster, P., Déboli, A., A nonlinear problem depending on the unknown Dirichlet values of the solution (2010) Differential Equations and Dynamical Systems 18, No, 4, pp. 363-372
- Amster, P., Kwong, M.K., Rogers, C., On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion, , To appear in Nonlinear Analysis, TMA
- Amster, P., Kwong, M.K., Rogers, C., A Neumann Boundary Value Problem in Two-Ion Electro-diffusion with υ+ + υ-≠ 0, , Submitted
- Amster, P., Rogers, C., On boundary value problems in three-ion electrodiffusion (2007) J. Math. Anal. Appl., 333, pp. 42-51
- Amster, P., Mariani, M.C., Rogers, C., Tisdell, C.C., On two-point boundary value problems in muti-ion electrodiffusion (2004) J. Math. Anal. Appl., 289, pp. 712-721
- Conte, R., Schief, W.K., Rogers, C., Painlevé structure of a multi-ion electrodiffusion system (2007) J. Physics A: Math. Theor., 40
- Landesman, E., Lazer, A., Nonlinear perturbations of linear elliptic boundary value problems at resonance (1970) J. Math. Mech., 19, pp. 609-623
- Leuchtag, H.R., A family of differential equations arising from multi-ion electrodiffusion (1981) J. Math. Phys., 22, pp. 1317-1320
- Mawhin, J., Landesman-Lazer conditions for boundary value problems: A nonlinear version of resonance (2000) Bol. de la Sociedad Española de Mat. Aplicada, 16, pp. 45-65
- Nirenberg, L., Generalized degree and nonlinear problems (1971) Contributions to nonlinear functional analysis, pp. 1-9. , Ed. E. H. Zarantonello, Academic Press New York
- Ortega, R., Sanchez, L., Periodic solutions of forced oscillators with several degrees of freedom (2002) Bull. London Math. Soc., 34, pp. 308-318
- Ruiz, D., Ward Jr., J.R., Some notes on periodic systems with linear part at resonance (2004) Discrete and Continuous Dynamical Systems, 11, pp. 337-350
- Thompson, H.B., Existence for two-point boundary value problems in two ion electrodiffusion (1994) Journal of Mathematical Analysis and Applications, 184 (1), pp. 82-94
Citas:
---------- APA ----------
Amster, P. & Déboli, A. (2013) . A Neumann problem for a system depending on the unknown boundary values of the solution. Electronic Journal of Qualitative Theory of Differential Equations.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster [ ]
---------- CHICAGO ----------
Amster, P., Déboli, A. "A Neumann problem for a system depending on the unknown boundary values of the solution" . Electronic Journal of Qualitative Theory of Differential Equations (2013).Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster [ ]
---------- MLA ----------
Amster, P., Déboli, A. "A Neumann problem for a system depending on the unknown boundary values of the solution" . Electronic Journal of Qualitative Theory of Differential Equations, 2013.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Déboli, A. A Neumann problem for a system depending on the unknown boundary values of the solution. Electron. J. Qual. Theor. Differ. Equ. 2013.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14173875_v_n_p_Amster [ ]
