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, 95 (1). pp. 155-160. ISSN 1578-7303
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| Item Type: | Article | ||||||
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| Title: | On the asymptotic behavior of solutions of a damped oscillator under a sublinear friction term: from the exceptional to the generic behaviors | ||||||
| Journal/Publication Title: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas | ||||||
| Date: | 2001 | ||||||
| Volume: | 95 | ||||||
| Number: | 1 | ||||||
| Department: | Motopropulsión and thermofluidynamic | ||||||
| Faculty: | E.T.S.I. Aeronautical (UPM) | ||||||
| Creative Commons licenses: | Recognition - No derivative works - No commercial | ||||||
| Item ID: | 1518 | ||||||
| Subjects: | Mathematics Physics |
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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-").
| Item Type: | Article |
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| Subjects: | Mathematics Physics |
| Código ID: | 1518 |
| Depositado Por: | Biblioteca ETSI Aeronauticos |
| Depositado el: | 15 Apr 2009 |
| Last Modified: | 29 Jan 2010 12:57 |
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