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Estimates for solutions of linear and quasilinear systems in the nonautonomous case

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Abstract

By using the freezing method, we obtain upper and lower estimates for the higher and lower characteristic exponents, respectively, of homogeneous n-dimensional linear differential and difference systems with coefficient matrix A(t) satisfying the condition ||A(t)−A(s)|| ≤ δ|t − s|α, δ > 0, α > 0, t, s ≥ 0. We also prove analogs of these estimates for quasilinear differential and difference systems.

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Authors and Affiliations

  1. Yaroslav-the-Wise Novgorod State University, Veliky Novgorod, Russia

    A. V. Lasunskii

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  1. A. V. Lasunskii
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Correspondence to A. V. Lasunskii.

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Original Russian Text © A.V. Lasunskii, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 2, pp. 177–185.

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Lasunskii, A.V. Estimates for solutions of linear and quasilinear systems in the nonautonomous case. Diff Equat 52, 177–185 (2016). https://doi.org/10.1134/S001226611602004X

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