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The Stability of the Equilibrium of a Conservative System

โœ Scribed by Bin Liu


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
192 KB
Volume
202
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


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

ลฝ . ลฝ . ลฝ

.

ลฝ . 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.


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