Electronic Journal of Differential Equations,
Vol. 1997(1997), No. 17, pp 1-6.

Title: Stability of a linear oscillator with variable parameters
 
Author: Alexander O. Ignatyev (Inst. for Applied Math. and Mechanics, Ukraine)

Abstract: 
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.