On damping of linear oscillators

Authors
Elbert, A
Citation
A. Elbert, On damping of linear oscillators, ST SCI M H, 38, 2001, pp. 191-208
Citations number
16
Categorie Soggetti
Mathematics
Journal title
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
ISSN journal
00816906 → ACNP
Volume
38
Year of publication
2001
Pages
191 - 208
Database
ISI
SICI code
0081-6906(2001)38:<191:ODOLO>2.0.ZU;2-Q
Abstract
The asymptotic stability of the solutions of the differential equation x " + h(t)x ' + x = 0 is investigated under the restrictions that h(t) = 2h(n) > 0 on [t(n),t(n) + tau (n)], and h(t) = 0 elsewhere, lim(n --> infinity) t (n) = infinity and t(n)+1 - t(n) is not necessarily a multiple of pi, n eps ilon N.