Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines |
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Authors: | N A Izobov A V Il’in |
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Institution: | 1.Institute of Mathematics,National Academy of Sciences,Minsk,Belarus;2.Lomonosov Moscow State University,Moscow,Russia |
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Abstract: | We realize a version of the Perron sign reversal effect for the characteristic exponents of a two-dimensional differential system; the exponents are negative for the linear approximation system and positive for the nontrivial solutions of the full nonlinear system with a higher-order perturbation in a neighborhood of the origin and with initial data on an arbitrary finite set of points and lines on the plane R 2. |
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