The Lyapunov stability of first order dynamic equations with respect to   time-dependent Riemannian metrics. An example
  A simple example that I have been requested illustrates the statement in E-print nlin.CD/0201060 that solutions of a smooth first order dynamic equation can be made Lyapunov stable at will by the choice of an appropriate time-dependent Riemannian metric. 
G.Sardanashvily