 96473 Paolo Perfetti.
 An infinitedimensional extension of
a Poincar\'e's result concerning the continuation of periodic orbits.
(84K, tex)
Oct 4, 96

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Abstract. We study the existence of periodic solutions for
the infinitedimensional second order system $\ddot x=V_{x},\
x\in{\bf T}^{{\bf Z}_+}.$
Using the ImplicitFunctionTheorem we prove the
existence of timeperiodic solutions at \lq\lq high frequencies"; no \lq\lq
smallness condition" on $V(x)$ is required.
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