Abstract
We consider families of n-dimensional (n ≥ 2) linear differential systems on the time half-line with parameter belonging to a metric space. We obtain a complete description of the Lyapunov irregularity coefficient as a function of the parameter for families whose dependence on the parameter is continuous in the sense of uniform convergence on the time half-line. As a corollary, we completely describe the parametric dependence of the Lyapunov irregularity coefficient of a regular linear system with a linear parametric perturbation decaying at infinity uniformly with respect to the parameter.
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Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 12, pp. 1587–1599.
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Barabanov, E.A., Bykov, V.V. Lyapunov Irregularity Coefficient as a Function of the Parameter for Families of Linear Differential Systems Whose Dependence on the Parameter Is Continuous Uniformly on the Time Half-Line. Diff Equat 55, 1531–1543 (2019). https://doi.org/10.1134/S0012266119120012
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DOI: https://doi.org/10.1134/S0012266119120012