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arXiv · 1812.07968

Some relations between Bohl Exponents and the Exponential Dichotomy spectrum

Nicolas Pinto·Gonzalo Robledo
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Abstract

We study a liaison between the Bohl's exponents and the exponential dichotomy spectrum of a non autonomous linear system of difference equations on the whole line $\mathbb{Z}$. More specifically, We prove that for any initial condition in an invariant vector bundle, associated to its exponential dichotomy spectrum, its Bohl's exponents are contained in an spectral interval.

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Nicolas Pinto, Gonzalo Robledo. 2018-12-19. Some relations between Bohl Exponents and the Exponential Dichotomy spectrum. https://arxiv.org/abs/1812.07968

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