Abstract
We construct a linear differential system \( \dot x \) = (A(t) + μB(t))x, x ∈ ℝ2, t ≥ 0, with almost periodic coefficients which is almost reducible for all μ ∈ ℝ except for an at most countable set and whose singular and higher characteristic exponents treated as functions of the parameter μ are discontinuous at some point.
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Original Russian Text © A.V. Lipnitskii, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 8, pp. 1041–1049.
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Lipnitskii, A.V. On the discontinuity of lyapunov exponents of an almost periodic linear differential system affinely depending on a parameter. Diff Equat 44, 1072–1081 (2008). https://doi.org/10.1134/S0012266108080041
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DOI: https://doi.org/10.1134/S0012266108080041