Ignatyev, Alexander O.2018-08-302018-08-301997-10-29Ignatyev, A. O. (1997). Stability of a linear oscillator with variable parameters. <i>Electronic Journal of Differential Equations, 1997</i>(17), pp. 1-6.1072-6691https://hdl.handle.net/10877/7671A 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.Text6 pages1 file (.pdf)enAttribution 4.0 Internationaldifferential equationsstable solutionLyapunov functionArticle