dc.contributor.author |
Kannan, R. |
en |

dc.contributor.author |
Ortega, R. |
en |

dc.date.accessioned |
2010-06-08T16:49:23Z |
en |

dc.date.available |
2010-06-08T16:49:23Z |
en |

dc.date.issued |
1985-04 |
en |

dc.identifier.uri |
http://hdl.handle.net/10106/2378 |
en |

dc.description.abstract |
The forced pendulum-type equation is given by [see pdf for notation] where [see pdf for notation] is continuous and T-periodic and p(t) is[see pdf for notation] -periodic. When g(x) = a sin x, a > 0, we obtain the classical pendulum equation. The question of existence of [see pdf for notation] periodic solution of (1.1) for a given p(t) has been studied recently in [1], [3], [5] (cf. [4] for an extensive bibliography).
Throughout this paper we denote by [see pdf for notation] the average of [see pdf for notation]. Some of the existence literature obtains sufficient conditions on the magnitudes of [see pdf for notation] and [see pdf for notation] in order that (1.1) have [see pdf for notation]- periodic solutions. A second category of results in the literature involves studying the problem (1.1) as characterizing the p(t) that are in the range of the operator [see pdf for notation]acting on [see pdf for notation]- periodic functions. |
en |

dc.language.iso |
en_US |
en |

dc.publisher |
University of Texas at Arlington |
en |

dc.relation.ispartofseries |
Technical Report;232 |
en |

dc.subject |
Forced pendulum-type |
en |

dc.subject |
Periodic solutions |
en |

dc.subject |
Periodic functions |
en |

dc.subject.lcsh |
Mathematics Research |
en |

dc.subject.lcsh |
Trigonometry |
en |

dc.title |
An Asymptotic Result in Forced Oscillations of Pendulum-Type Equations |
en |

dc.type |
Technical Report |
en |

dc.publisher.department |
Department of Mathematics |
en |