Asymptotic methods in the theory of ordinary linear differential equations

In this paper we consider systems of the form
\begin{equation} y'=\mu A(x)y \end{equation}
on the semiaxis $x\geqslant0$, where $y(x)$ is a column vector with $n$ components, $A(x)$ is an ($n\times n$)-matrix, and $\mu$ is a parameter. We pose the problem of finding the asymptotic behavior of the solutions of equation (1) as $x\to\infty$ and $\mu\to\infty$.
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