On the existence of a linear differential system with given values of the Perron exponentстатья
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Аннотация:We consider linear differential systems with infinitely differentiable and, in general, unbounded coefficients on the semi-axis. We prove that the map assigning to a non-zero solution of such a system the value of the Perron exponent on the solution can turn out to be an arbitrary continuous function which is constant along every line passing through zero in the solution space.