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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 17, Issue 1, Pages 49 - 54 (September 2011)

EXISTENCE OF COMPLETE LYAPUNOV FUNCTIONS FOR SEMIFLOWS ON SEPARABLE METRIC SPACES
Mauro Patrão

Abstract:

The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map. As a byproduct, we assure the existence of complete Lyapunov functions for semiflows on separable metric spaces.

Keywords and phrases: Lyapunov functions, semiflows, separable metric space.

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