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

• Date: 2002
• Main Authors: Evtukhov, V. M., Евтухов, В. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4037
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 diff...