Artículo
Amster, P.; Marian, M.C. "A second order ODE with a nonlinear fina condition" (2001) Electronic Journal of Differential Equations. 2001:XCXLV-XCXLVI
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Abstract:
We study a semilinear second-order ordinary differential equation with initial condition it(0) = UQ. We prove the existence of solutions satisfying a nonlinear final condition u(T) = /i'(it(T)), under a certain growth condition. Also we state conditions ensuring that any solution with Cauchy data u(0) = UQ, u (0) = VQ is defined on the whole interval [0, TJ. ©2001 Southwest Texas State University.
Registro:
| Documento: | Artículo |
| Título: | A second order ODE with a nonlinear fina condition |
| Autor: | Amster, P.; Marian, M.C. |
| Filiación: | Departamento de Matemâtica, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, (1428) Buenos Aires, Argentina |
| Palabras clave: | Fixed point methods; Nonlinear boundary-value problems |
| Año: | 2001 |
| Volumen: | 2001 |
| Página de inicio: | XCXLV |
| Página de fin: | XCXLVI |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster |
Referencias:
- Alonso, J., Nonexistence of periodic solutions for a damped pendulum equation (1997) Diff. and Integral Equations, 10, pp. 1141-1148
- Amster, P., Mariani, M.C., Nonlinear Two-point Boundary Value Problems and A Duffing Equation., , Submitted
- Castro, A., Periodic solutions of the forced pendulum equation (1980) Diff. Equations, pp. 149-160
- Dolph, C.L., Nonlinear integral equations of the Hammerstein type (1949) Trans. Amer. Math. Soc., 66, pp. 289-307
- Hamel, G., Über erzwungene Schwingungen bei endlichen Amplituden (1922) Math. Ann., 86, pp. 1-13
- Mawhin, J., The forced pendulum: A paradigm for nonlinear analysis and dynamical systems (1988) Expo. Math., 6, pp. 271-287
- Mawhin, J., Boudary value problems for nonlinear ordinary differential equations: From successive approximations to topology (1998) Recherches de Mathématique, , Inst, de Math Pure et Apliquée, Univ.Cath. de Louvain. Prepublicatio
- Ortega, R., Serra, E., Tarallo, M., Non-continuation of the Periodic Oscillations of A Forced Pendulum in the Presence of Friction., , To appear
Citas:
---------- APA ----------
Amster, P. & Marian, M.C. (2001) . A second order ODE with a nonlinear fina condition. Electronic Journal of Differential Equations, 2001, XCXLV-XCXLVI.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster [ ]
---------- CHICAGO ----------
Amster, P., Marian, M.C. "A second order ODE with a nonlinear fina condition" . Electronic Journal of Differential Equations 2001 (2001) : XCXLV-XCXLVI.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster [ ]
---------- MLA ----------
Amster, P., Marian, M.C. "A second order ODE with a nonlinear fina condition" . Electronic Journal of Differential Equations, vol. 2001, 2001, pp. XCXLV-XCXLVI.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster [ ]
---------- VANCOUVER ----------
Amster, P., Marian, M.C. A second order ODE with a nonlinear fina condition. Electron. J. Differ. Equ. 2001;2001:XCXLV-XCXLVI.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2001_n_pXCXLV_Amster [ ]
