Precise estimates of the walk speed of solutions of second-order linear systems
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 184-212
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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 $M$.
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