Some relations between Bohl Exponents and the Exponential Dichotomy\n spectrum

2018/12/19 by Nicolás Pinto, Pinto, Nicolas, Gonzalo Robledo +2
Engineering · Mathematics · #39A06 #39A10 #39A12 #39A22 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1812.07968

openalex publication_date 2018/12/19 · openalex created_date 2023/02/17 · openalex updated_date 2026/07/28

Abstract

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

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