Abstract
In the complete Perron effect of change of values of characteristic exponents, where all nontrivial solutions y(t, y0) of the perturbed two-dimensional differential system are infinitely extendible and have finite positive exponents (the exponents of the linear approximation system being negative), we prove that the Lyapunov exponent λ[y(·, y0)] of these solutions is a function of the second Baire class of their initial vectors y0 ∈ ℝn {0}.
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