Existence of complete Lyapunov functions for semiflows on separable metric spaces

Details Existence of complete Lyapunov functions for semiflows on separable metric spaces Existence of complete Lyapunov functions for semiflows on separable metric spaces

2011-07-27

arxiv.org/abs/1107.5981v1

Mathematics

Dynamical Systems

Scientific paper

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.

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