On linear systems asymptotically equivalent under exponentially decaying perturbations
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Publication:2461858
DOI10.1134/S0012266106020042zbMath1135.34320MaRDI QIDQ2461858
Sergei A. Mazanik, N. A. Izobov
Publication date: 21 November 2007
Published in: Differential Equations (Search for Journal in Brave)
Perturbations of ordinary differential equations (34D10) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)
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Parametric properties of irreducibility sets of linear differential systems ⋮ On sets of linear differential systems to which perturbed linear systems cannot be reduced ⋮ Kinematic similarity of linear differential systems with a parametric coefficient of a derivative ⋮ Existence of an anti-Perron effect of change of positive exponents of the linear approximation system to negative ones under perturbations of a higher order of smallness ⋮ On Lyapunov equivalence of linear differential systems with unbounded coefficients ⋮ Baire classes of functionals on the space of linear differential systems ⋮ On the existence of linear differential systems with all positive characteristic exponents of the first approximation and with exponentially decaying perturbations and solutions ⋮ Linear version of the anti-Perron effect of change of positive characteristic exponents to negative ones
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