On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
We investigate smoothness properties of the roots of algebraic equations with almost constant coefficients and construct a transformation, which may be efficiently used for the investigation of the asymptotic behavior of a fundamental family of solutions of a broad class of nonautonomous linear differential equations of the nth order.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 1, pp 23-50.
Citation Example: Evtukhov V. M. On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order // Ukr. Mat. Zh. - 2002. - 54, № 1. - pp. 20-42.