Abstract:
We study the existence of solutions for a coupled system of n-dimensional pendulum equations under generalized periodic-type conditions. We obtain existence results under appropriate conditions using topological degree methods and a shooting type argument. © 2005 Elsevier Ltd. All rights reserved.
Registro:
Documento: |
Artículo
|
Título: | A system of coupled pendulii |
Autor: | Amster, P.; Mariani, M.C. |
Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón I, (1428) Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003-8001, United States
|
Palabras clave: | Pendulum equation; Topological degree methods; Pendulums; Topology; Pendulum equation; Topological degree methods; Coupled circuits |
Año: | 2006
|
Volumen: | 64
|
Número: | 8
|
Página de inicio: | 1647
|
Página de fin: | 1653
|
DOI: |
http://dx.doi.org/10.1016/j.na.2005.07.009 |
Título revista: | Nonlinear Analysis, Theory, Methods and Applications
|
Título revista abreviado: | Nonlinear Anal Theory Methods Appl
|
ISSN: | 0362546X
|
CODEN: | NOAND
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v64_n8_p1647_Amster |
Referencias:
- Alonso, J., Nonexistence of periodic solutions for a damped pendulum equation (1997) Differential Integral Equations, 10, pp. 1141-1148
- Amster, P., De Nápoli, P., Mariani, M.C., Existence of solutions to n-dimensional pendulum-like equations (2004) Electron. J. Differential Equations, 125, pp. 1-8
- Berestycki, B., Brezis, H., On a free boundary problem arising in plasma physics (1980) Nonlinear Anal., 4 (3), pp. 415-436
- Castro, A., Periodic solutions of the forced pendulum equation (1980) Differential Equations, pp. 149-160
- Fournier, G., Mawhin, J., On periodic solutions of forced pendulum-like equations (1985) J. Differential Equations, 60, pp. 381-395
- Goldstein, H., (1983) Classical Mechanics, , Addison-Wesley Reading, MA
- 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., Periodic oscillations of forced pendulum-like equations (1982) Lecture Notes in Mathematics, 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. Classe des Sciences, Ac. Roy. Belgique, 73, pp. 405-409
- Ortega, R., Nonexistence of radial solutions of two elliptic boundary value problems (1990) Proc. R. Soc. Edinburgh, 114, pp. 27-31
- Ortega, R., Serra, E., Tarallo, M., Non-continuation of the periodic oscillations of a forced pendulum in the presence of friction Proc. Am. Math. Soc., 128 (9), pp. 2659-2665
- Pathria, R., (1999) Statistical Mechanics, , Wiley New York
Citas:
---------- APA ----------
Amster, P. & Mariani, M.C.
(2006)
. A system of coupled pendulii. Nonlinear Analysis, Theory, Methods and Applications, 64(8), 1647-1653.
http://dx.doi.org/10.1016/j.na.2005.07.009---------- CHICAGO ----------
Amster, P., Mariani, M.C.
"A system of coupled pendulii"
. Nonlinear Analysis, Theory, Methods and Applications 64, no. 8
(2006) : 1647-1653.
http://dx.doi.org/10.1016/j.na.2005.07.009---------- MLA ----------
Amster, P., Mariani, M.C.
"A system of coupled pendulii"
. Nonlinear Analysis, Theory, Methods and Applications, vol. 64, no. 8, 2006, pp. 1647-1653.
http://dx.doi.org/10.1016/j.na.2005.07.009---------- VANCOUVER ----------
Amster, P., Mariani, M.C. A system of coupled pendulii. Nonlinear Anal Theory Methods Appl. 2006;64(8):1647-1653.
http://dx.doi.org/10.1016/j.na.2005.07.009