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Díaz Díaz, Jesús Ildefonso and Liñán Martínez, Amable
(2001)
*On the asymptotic behavior of solutions of a damped oscillator under a sublinear friction term.*
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A: Matemáticas, 95
(1).
pp. 155-160.
ISSN 1578-7303

PDF
Restringido a Repository staff only 174kB |

Official URL: http://www.rac.es/ficheros/doc/00050.pdf

## Abstract

We show that there are two curves of initial data (xo, vo) for which the solutions x(t) of the corresponding Cauchy problem associated to the equation xtt + |xí|a_1 xt + x — 0, where a G (0,1), vanish after a finite time. By using asymptotic and methods and comparison arguments we show that for many other initial data the solutions decay to 0, in an infinite time, as i-"/í1-").

Item Type: | Article |
---|---|

Additional Information: | Comunicación Preliminar / Preliminary Communication |

Uncontrolled Keywords: | sublinear damped oscillator, Coulomb friction, extinction in a finite time. |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 15561 |

Deposited On: | 11 Jun 2012 07:48 |

Last Modified: | 12 Dec 2018 15:07 |

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