Geodesic
Wandering rate estimations of solutions for some types of linear differential equation systems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2015), pp. 106-111 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, the wandering rate spectrum is investigated on the set of common type linear differential equations systems with bounded coefficients, as well as on the subset of diagonal systems of arbitrary order and on the subset of differential systems, corresponding to the second order linear differential equations. It is shown that the wandering rate spectrum is a segment on the set of even dimension common type systems with bounded coefficients, as well as on the subset of diagonal systems. The estimation of the upper boundary of the wandering rate of second order linear differential equation solution is given.
Keywords: systems of linear differential equations, wandering rate, wandering rate spectrum. 
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     author = {M. D. Lysak},
     title = {Wandering rate estimations of solutions for some types of linear differential equation systems},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {106--111},
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     url = {http://geodesic.mathdoc.fr/item/IIMI_2015_2_a13/}
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M. D. Lysak. Wandering rate estimations of solutions for some types of linear differential equation systems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2015), pp. 106-111. http://geodesic.mathdoc.fr/item/IIMI_2015_2_a13/

[1] Sergeev I. N., “Oscillation and wandering characteristics of solutions of a linear differential system”, Izvestiya: Mathematics, 76:1 (2012), 141–164 | DOI | DOI | MR | Zbl

[2] Lysak M. D., “Precise estimates of the walk speed of solutions of second-order linear systems”, Journal of Mathematical Sciences, 210:3 (2015), 1–18 | DOI