Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 91-102.

Title: A Lyapunov function for pullback attractors of
  nonautonomous differential equations.

Authors: Peter E. Kloeden (Johann Wolfgang Goethe Univ., Frankfurt, Germany)
 
Abstract: 
  The contruction of a Lyapunov function  characterizing the pullback
  attractor of a cocycle dynamical system  is presented.
  This system is the state space component of a skew-product flow   
  generated by a nonautonomous differential equation that
  is driven by an autonomous dynamical system on  a metric space.

Published October 24, 2000.
Math Subject Classifications: 34D20, 34D45.
Key Words: Lyapunov function; nonautonomous system; pullback attractor.