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arXiv · 1107.5981

Existence of complete Lyapunov functions for semiflows on separable metric spaces

Mauro Patrão
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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.

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Mauro Patrão. 2011-07-27. Existence of complete Lyapunov functions for semiflows on separable metric spaces. https://arxiv.org/abs/1107.5981

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