This article is cited in 6 papers

Asymptotic methods in the theory of ordinary linear differential equations

M. V. Fedoryuk


Abstract: 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.

UDC: 517.941

MSC: 34E05, 34K06, 34L20

Received: 26.12.1968

 English version: Mathematics of the USSR-Sbornik, 1969, 8:4, 451–491

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