Geodesic
Stability of a linear oscillator with variable parameters
Electronic journal of differential equations, Tome 1997 (1997)
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 
@article{EJDE_1997__1997__a37,
     author = {Ignatyev,  Alexander O.},
     title = {Stability of a linear oscillator with variable parameters},
     journal = {Electronic journal of differential equations},
     year = {1997},
     volume = {1997},
     zbl = {0889.34043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a37/}
}
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AU  - Ignatyev,  Alexander O.
TI  - Stability of a linear oscillator with variable parameters
JO  - Electronic journal of differential equations
PY  - 1997
VL  - 1997
UR  - http://geodesic.mathdoc.fr/item/EJDE_1997__1997__a37/
LA  - en
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%0 Journal Article
%A Ignatyev,  Alexander O.
%T Stability of a linear oscillator with variable parameters
%J Electronic journal of differential equations
%D 1997
%V 1997
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%F EJDE_1997__1997__a37
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__a37/