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

• Datum: 2002
• Hauptverfasser: Evtukhov, V. M., Евтухов, В. М.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4037
• Назва журналу: 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...