Functions determined by the Lyapunov exponents of families of linear differential systems continuously depending on the parameter uniformly on the half-line

DOI10.1134/S0012266117120011zbMath1387.34081OpenAlexW2788246966MaRDI QIDQ1709662

V. V. Bykov

Publication date: 6 April 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117120011

zbMATH Keywords

linear differential systemscomplete description of the \(i\)th Lyapunov exponent as a function of the parameter

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (6)

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 ⋮ Lebesgue sets of Izobov exponents of linear differential systems. I ⋮ Complete description of the Lyapunov spectra of families of linear differential systems whose dependence on the parameter is continuous uniformly on the time semiaxis ⋮ Complete description of the exponential stability index for linear parametric systems as a function of the parameter ⋮ Baire classes of functionals on the space of linear differential systems ⋮ Description of a linear Perron effect under parametric perturbations of a linear differential system with unbounded coefficients

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• LYAPUNOV EXPONENTS AS FUNCTIONS OF A PARAMETER

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