On the Solvability of Hamilton's Equations in Hilbert Spaces.

We construct a bounded function H : l[SUB2] × l[SUB2] → [this text does not converted in ASCII.txt] with continuous Frèchet derivative such that for any q[SUB0]∈ l[SUB2] the Cauchy problem) [This text is not converted in ASCII.txt] has no solutions in any neighborhood of zero in [This text is not converted in ASCII.txt]. [ABSTRACT FROM AUTHOR]