Abstract :
In this paper, we consider the conservative system
¨xqa t.x2nq1qe t, x.s0, nG1,
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 x2 nq2 in a neighborhood of
xs0. A sufficient and necessary condition for the stability in the Liapunov sense
of the trivial solution xs0 is given.
