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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.
Title: | On the asymptotic behavior of solutions of a damped oscillator under a sublinear friction term: from the exceptional to the generic behaviors |
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Author/s: |
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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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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 ID: | 1518 |
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DC Identifier: | https://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 |