Artículo
Amster, P.; De Nápoli, P.L.; Mariani, M.C. "Existence of solutions to N-dimensional pendulum-like equations" (2004) Electronic Journal of Differential Equations. 2004:1-8
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Abstract:
We study the elliptic boundary-value problem Δu + g(x, u) = p(x) in Ω u| ∂Ω = constant, ∫ ∂Ω ∂u/∂ν = 0, where g is T-periodic in u, and Ω ⊂ ℝ n is a bounded domain. We prove the existence of a solution under a condition on the average of the forcing term p. Also, we prove the existence of a compact interval I p ⊂ ℝ such that the problem is solvable for p̃(x) = p(x) + c if and only if c ∈ I p.
Registro:
| Documento: | Artículo |
| Título: | Existence of solutions to N-dimensional pendulum-like equations |
| Autor: | Amster, P.; De Nápoli, P.L.; Mariani, M.C. |
| Filiación: | Universidad de Buenos Aires, FCEyN - Departamento de Matematica, Ciudad Universitaria, (1428) Buenos Aires, Argentina Consejo Nac. de Invest. Cie. y Tec., Argentina Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003-0001, United States |
| Palabras clave: | Boundary value problems; Pendulum-like equations; Topological methods |
| Año: | 2004 |
| Volumen: | 2004 |
| Página de inicio: | 1 |
| Página de fin: | 8 |
| 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_v2004_n_p1_Amster |
Referencias:
- Alonso, J., Nonexistence of periodic solutions for a damped pendulum equation (1997) Diff. and Integral Equations, 10, pp. 1141-1148
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- Castro, A., Periodic solutions of the forced pendulum equation (1979) Differential Equations, pp. 149-160. , (Proc. Eighth Fall Conf., Oklahoma State Univ., Stillwater, Okla.), Academic Press, New York-London-Toronto, Ont
- Fournier, G., Mawhin, J., On periodic solutions of forced pendulum-like equations (1985) Journal of Differential Equations, 60, pp. 381-395
- Kesavan, S., (1989) Topics in Functional Analysis and Applications, , John Wiley & Sons, Inc., New York, NY
- Mawhin, J., Periodic oscillations of forced pendulum-like equations (1982) Lecture Notes in Math, 964, pp. 458-476. , Springer, Berlin
- Mawhin, J., Seventy-five years of global analysis around the forced pendulum equation (1997) Proc. Equadiff., 9. , Brno
- Ortega, R., A counterexample for the damped pendulum equation (1987) Bull. de la Classe des Sciences, Ac. Roy. Belgique, 73, pp. 405-409
- Ortega, R., Nonexistence of radial solutions of two elliptic boundary value problems (1990) Proc. of the Royal Society of Edinburgh, 114 A, pp. 27-31
- Ortega, R., Serra, E., Tarallo, M., Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction (2000) Proc. of Am. Math. Soc., 128 (9), pp. 2659-2665
Citas:
---------- APA ----------
Amster, P., De Nápoli, P.L. & Mariani, M.C. (2004) . Existence of solutions to N-dimensional pendulum-like equations. Electronic Journal of Differential Equations, 2004, 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Amster [ ]
---------- CHICAGO ----------
Amster, P., De Nápoli, P.L., Mariani, M.C. "Existence of solutions to N-dimensional pendulum-like equations" . Electronic Journal of Differential Equations 2004 (2004) : 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Amster [ ]
---------- MLA ----------
Amster, P., De Nápoli, P.L., Mariani, M.C. "Existence of solutions to N-dimensional pendulum-like equations" . Electronic Journal of Differential Equations, vol. 2004, 2004, pp. 1-8.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Amster [ ]
---------- VANCOUVER ----------
Amster, P., De Nápoli, P.L., Mariani, M.C. Existence of solutions to N-dimensional pendulum-like equations. Electron. J. Differ. Equ. 2004;2004:1-8.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2004_n_p1_Amster [ ]
