Artículo
Amster, P.; De Nápoli, P. "On a generalization of Lazer-Leach conditions for a system of second order ODE's" (2009) Topological Methods in Nonlinear Analysis. 33(1):31-39
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Abstract:
We study the existence of periodic solutions for a nonlinear second order system of ordinary differential equations. Assuming suitable Lazer-Leach type conditions, we prove the existence of at least one solution applying topological degree methods. © 2009 Juliusz Schauder Center for Nonlinear Studies.
Registro:
| Documento: | Artículo |
| Título: | On a generalization of Lazer-Leach conditions for a system of second order ODE's |
| Autor: | Amster, P.; De Nápoli, P. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina |
| Palabras clave: | Lazer-Leach conditions; Resonant systems; Topological degree |
| Año: | 2009 |
| Volumen: | 33 |
| Número: | 1 |
| Página de inicio: | 31 |
| Página de fin: | 39 |
| DOI: | http://dx.doi.org/10.12775/TMNA.2009.003 |
| Título revista: | Topological Methods in Nonlinear Analysis |
| Título revista abreviado: | Topol. Method Nonlinear Anal. |
| ISSN: | 12303429 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12303429_v33_n1_p31_Amster |
Referencias:
- Amster, P., De Nápoli, P., Landesman-Lazer type conditions for a system of p-Laplacian like operators (2007) J. Math. Anal. and Appl., 326, pp. 1236-1243
- Landesman, E., Lazer, A., Nonlinear perturbations of linear elliptic boundary value problems at resonance (1970) J. Math. Mech., 19, pp. 609-623
- Lazer, A., Leach, D., Bounded perturbations of forced harmonic oscillators at resonance (1969) Ann. Mat. Pura Appl., 82, pp. 49-68
- Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) NSF- CBMS Regional Conference in Mathematics, 40. , Amer. Math. Soc., Providence, R. I
- 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., (1971) Generalized Degree and Nonlinear Problems Contributions to Nonlinear Functional Analysis, pp. 1-9. , (E. H. Zarantonello, ed.), Academic Press New York
- Ortega, R., Sánchez, L., Periodic solutions of forced oscillators with several degrees of freedom (2002) Bull. London Math. Soc., 34, pp. 308-318
Citas:
---------- APA ----------
Amster, P. & De Nápoli, P. (2009) . On a generalization of Lazer-Leach conditions for a system of second order ODE's. Topological Methods in Nonlinear Analysis, 33(1), 31-39.http://dx.doi.org/10.12775/TMNA.2009.003
---------- CHICAGO ----------
Amster, P., De Nápoli, P. "On a generalization of Lazer-Leach conditions for a system of second order ODE's" . Topological Methods in Nonlinear Analysis 33, no. 1 (2009) : 31-39.http://dx.doi.org/10.12775/TMNA.2009.003
---------- MLA ----------
Amster, P., De Nápoli, P. "On a generalization of Lazer-Leach conditions for a system of second order ODE's" . Topological Methods in Nonlinear Analysis, vol. 33, no. 1, 2009, pp. 31-39.http://dx.doi.org/10.12775/TMNA.2009.003
---------- VANCOUVER ----------
Amster, P., De Nápoli, P. On a generalization of Lazer-Leach conditions for a system of second order ODE's. Topol. Method Nonlinear Anal. 2009;33(1):31-39.http://dx.doi.org/10.12775/TMNA.2009.003
