Geodesic
Stability of a linear oscillator with variable parameters
Electronic Journal of Differential Equations, Tome 1997 (1997).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A criterion of asymptotic stability for a linear oscillator with variable parameters is obtained. It is shown that this criterion is close to a necessary and sufficient conditions of asymptotic stability. An instability theorem is proved, and a mechanical example is considered.
Classification : 34D20, 70J25
Keywords: differential equation, stable solution, Lyapunov function 
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     author = {Ignatyev, Alexander O.},
     title = {Stability of a linear oscillator with variable parameters},
     journal = {Electronic Journal of Differential Equations},
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     volume = {1997},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a13/}
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Ignatyev, Alexander O. Stability of a linear oscillator with variable parameters. Electronic Journal of Differential Equations, Tome 1997 (1997). http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a13/