Asymptotic methods in the theory of ordinary linear differential equations

M. V. Fedoryuk

Sbornik. Mathematics, Tome 8 (1969) no. 4, pp. 451-491

Résumé

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 $\mu\to\infty$. Bibliography: 16 titles.