On the asymptotic behavior of solutions of a damped oscillator under a sublinear friction term: from the exceptional to the generic behaviors

Díaz, J.I. and Liñán Martínez, Amable (2001). On the asymptotic behavior of solutions of a damped oscillator under a sublinear friction term: from the exceptional to the generic behaviors. "Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas", v. 95 (n. 1); pp. 155-160. ISSN 1578-7303.

Description

Title: On the asymptotic behavior of solutions of a damped oscillator under a sublinear friction term: from the exceptional to the generic behaviors
Author/s:
  • Díaz, J.I.
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas
Date: 2001
ISSN: 1578-7303
Volume: 95
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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-").

More information

Item ID: 1518
DC Identifier: http://oa.upm.es/1518/
OAI Identifier: oai:oa.upm.es:1518
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 15 Apr 2009
Last Modified: 20 Apr 2016 06:51
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