Back to Search
Start Over
Periodic solutions of the forced pendulum equation with friction
- Source :
- Bulletin de la Classe des sciences. 14:311-320
- Publication Year :
- 2003
- Publisher :
- PERSEE Program, 2003.
-
Abstract
- This paper is devoted to the study of the general forced pendulum equation in the presence of friction, u" + a(t)u' + b(t) sin u = f(t) with a, b ∈ C([0, T]) and ƒ ∈ L2(0, T). We apply a Lyapunov-Schmidt reduction in order to obtain T-periodic solutions as zeroes of a 2π-periodic continuous real function under appropriate conditions on a, b and ƒ.<br />Amster Pablo, Mariani Maria Cristina. Periodic solutions of the forced pendulum equation with friction. In: Bulletin de la Classe des sciences, tome 14, n°7-12, 2003. pp. 311-320.
Details
- ISSN :
- 00014141
- Volume :
- 14
- Database :
- OpenAIRE
- Journal :
- Bulletin de la Classe des sciences
- Accession number :
- edsair.doi.dedup.....fe98f20055933bf27102316a091f7efb
- Full Text :
- https://doi.org/10.3406/barb.2003.28380