On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
Abstract
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.
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