The Stability of the Equilibrium of a Conservative System

✍ Scribed by Bin Liu

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 192 KB
• Volume: 202
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1996.0307

✦ Synopsis

In this paper, we consider the conservative system x q a t x 2nq1 q e t, x s 0, n G 1,

Ž . Ž . Ž

.

Ž . where a t is a continuous and 1-periodic function in the time t. e t, x is also 1-periodic in the time t and dominated by the power x 2 nq2 in a neighborhood of x s 0. A sufficient and necessary condition for the stability in the Liapunov sense of the trivial solution x s 0 is given.