On Lyapunov equivalence of linear differential systems with unbounded coefficients |
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Authors: | V. I. Zalygina |
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Affiliation: | 1. Moscow State University, Moscow, Russia
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Abstract: | We show that any linear homogeneous differential system can be reduced by some linear piecewise differentiable transformation whose matrix, together with its inverse, is bounded on the half-line to a system with piecewise constant coefficients of the same growth order, and any system with a uniformly small perturbation can be reduced by this linear transformation to the same system with a piecewise constant perturbation of the same smallness. |
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