Wandering of solutions of two-dimensional diagonal and triangular systems of differential equations
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 221-241
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We consider some classes of two-dimensional diagonal and triangular linear nonautonomous systems of differential equations with bounded coefficients. It is shown that the upper, as well as the lower, walk exponents and wandering exponents of all their nontrivial solutions are equal to zero, except, possibly, the upper wandering exponent for a triangular system (an example is constructed in which the latter exponent is positive).
@article{TSP_2014_30_30_a12,
author = {V. V. Mitsenko},
title = {Wandering of solutions of two-dimensional diagonal and triangular systems of differential equations},
journal = {Trudy Seminara im. I.G. Petrovskogo},
pages = {221--241},
publisher = {mathdoc},
volume = {30},
number = {30},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a12/}
}
TY - JOUR AU - V. V. Mitsenko TI - Wandering of solutions of two-dimensional diagonal and triangular systems of differential equations JO - Trudy Seminara im. I.G. Petrovskogo PY - 2014 SP - 221 EP - 241 VL - 30 IS - 30 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a12/ LA - ru ID - TSP_2014_30_30_a12 ER -
%0 Journal Article %A V. V. Mitsenko %T Wandering of solutions of two-dimensional diagonal and triangular systems of differential equations %J Trudy Seminara im. I.G. Petrovskogo %D 2014 %P 221-241 %V 30 %N 30 %I mathdoc %U http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a12/ %G ru %F TSP_2014_30_30_a12
V. V. Mitsenko. Wandering of solutions of two-dimensional diagonal and triangular systems of differential equations. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 221-241. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a12/