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JOURNALS // Trudy Seminara imeni I. G. Petrovskogo // Archive

Tr. Semim. im. I. G. Petrovskogo, 2014 Issue 30, Pages 184–212 (Mi tsp78)

This article is cited in 2 papers

Precise estimates of the walk speed of solutions of second-order linear systems

M. D. Lysak


Abstract: We consider some classes of nonautonomous second-order systems of differential equations whose coefficients are bounded by a given constant $M$, in particular, diagonal systems, triangular systems, and systems corresponding to a single equation. It is shown that the walk speeds of solutions of various systems from these classes fill up a certain interval, and precise estimates are obtained for the length of that interval in terms of the value of $M$.

UDC: 517.926.4


 English version:
Journal of Mathematical Sciences (New York), 2015, 210:3, 227–244


© Steklov Math. Inst. of RAS, 2026