Artículo
Amster, P.; Haddad, J. "A Hartman-Nagumo type condition for a class of contractible domains" (2013) Topological Methods in Nonlinear Analysis. 41(2):287-304
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Abstract:
We generalize an existence result on second order systems with a nonlinear term satisfying the so-called Hartman-Nagumo condition. The generalization is based on the use of Gauss second fundamental form and continuation techniques. © 2013 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus Universit.
Registro:
| Documento: | Artículo |
| Título: | A Hartman-Nagumo type condition for a class of contractible domains |
| Autor: | Amster, P.; Haddad, J. |
| Filiación: | Universidad de Buenos Aires and CONICET, Departamento de Matemática - FCEyN, Ciudad Universitaria, Pab. I, 1428 - Buenos Aires, Argentina |
| Palabras clave: | Contractible domains; Hartman-Nagumo condition; Second fundamental form; Second order systems |
| Año: | 2013 |
| Volumen: | 41 |
| Número: | 2 |
| Página de inicio: | 287 |
| Página de fin: | 304 |
| 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_v41_n2_p287_Amster |
Referencias:
- Bebernes, J., Schmitt, K., Periodic boundary value problems for systems of second order differential equations (1973) J. Differential Equations, 13, pp. 32-47
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- Gaines, R., Mawhin, J., Coincidence degree and nonlinear differential equations (1977) Lecture Notes in Mathematics, , Springer
- Gaines, R., Mawhin, J., Ordinary differential equations with nonlinear boundary conditions (1977) J. Differential Equations, 26, pp. 200-222
- Hartman, P., On boundary value problems for systems of ordinary nonlinear second order differential equations (1960) Trans. Amer. Math. Soc, 96, pp. 493-509
- Hopf, H., Vektorfelder in n-dimensionalen Mannigfaltigkeiten (1926) Math. Ann, 96, pp. 225-250
- Knobloch, H., On the existence of periodic solutions of second order vector differential equations (1971) J. Differential Equations, 9, pp. 67-85
- Habets, P., Pouso, R., Examples of the nonexistence of a solution in the presence of upper and lower solutions (2003) Anziam J, 44, pp. 591-594
- Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) NSF-CBMS Regional Conference In Mathematics, 40. , American Mathematical Society, Providence, RI
- Mawhin, J., Some boundary value problems for Hartman-type perturbations of the ordinary vector p-Laplacian (2000) Nonlinear Anal, 40, pp. 497-503
- Mawhin, J., The Bernstein-Nagumo problem and two-point boundary value problems for ordinary differential equations (1981) Qualitative Theory of Differential Equations, pp. 709-740. , Farkas ed., Budapest
- Mawhin, J., Boundary value problems for nonlinear second-order vector differential equations (1974) J. Differential Equations, 16, pp. 257-269
- Mawhin, J., Ureña, A., A Hartman-Nagumo inequality for the vector ordinary p-Laplacian and applications to nonlinear boundary value problems (2002) J. Inequal. Appl, 7, pp. 701-725
- Milnor, J., On the immersion of n-manifolds in (n + 1)-space, Comment (1956) Math. Helv, 30, pp. 275-284
Citas:
---------- APA ----------
Amster, P. & Haddad, J. (2013) . A Hartman-Nagumo type condition for a class of contractible domains. Topological Methods in Nonlinear Analysis, 41(2), 287-304.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12303429_v41_n2_p287_Amster [ ]
---------- CHICAGO ----------
Amster, P., Haddad, J. "A Hartman-Nagumo type condition for a class of contractible domains" . Topological Methods in Nonlinear Analysis 41, no. 2 (2013) : 287-304.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12303429_v41_n2_p287_Amster [ ]
---------- MLA ----------
Amster, P., Haddad, J. "A Hartman-Nagumo type condition for a class of contractible domains" . Topological Methods in Nonlinear Analysis, vol. 41, no. 2, 2013, pp. 287-304.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12303429_v41_n2_p287_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Haddad, J. A Hartman-Nagumo type condition for a class of contractible domains. Topol. Method Nonlinear Anal. 2013;41(2):287-304.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12303429_v41_n2_p287_Amster [ ]
