Electron. J. Diff. Eqns., Vol. 1997(1997), No. 17, pp 1-6.
Alexander O. Ignatyev
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.
Submitted June 20, 1997. Published October 29, 1997.
Math Subject Classification: 34D20, 70J25.
Key Words: differential equation, stable solution, Lyapunov function.
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