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A Perron-type theorem for nonautonomous delay equations

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Central European Journal of Mathematics

Abstract

We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t ) for any sufficiently small perturbation f.

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Authors and Affiliations

  1. Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisboa, Portugal

    Luis Barreira & Claudia Valls

Authors
  1. Luis Barreira
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  2. Claudia Valls
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Correspondence to Luis Barreira.

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Barreira, L., Valls, C. A Perron-type theorem for nonautonomous delay equations. centr.eur.j.math. 11, 1283–1295 (2013). https://doi.org/10.2478/s11533-013-0244-6

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  • DOI: https://doi.org/10.2478/s11533-013-0244-6

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