Nonlinear Differential Equations,
Electron. J. Diff. Eqns., Conf. 05, 2000, pp. 91102.
A Lyapunov function for pullback attractors of
nonautonomous differential equations
Peter E. Kloeden
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 skewproduct flow
generated by a nonautonomous differential equation that
is driven by an autonomous dynamical system on a metric space.
Published October 25, 2000.
Math Subject Classifications: 34D20, 34D45.
Key Words: Lyapunov function, nonautonomous system, pullback attractor.
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Peter E. Kloeden
FB Mathematik, Johann Wolfgang Goethe Universitat
D60054 Frankfurt am Main, Germany
email: kloeden@math.unifrankfurt.de 
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