Construction of asymptotic representations of solutions from the classL?? for systems of differential equations by the method of characteristic matrix functions

• Date: 1994
• Main Authors: Ivanyuk, N. N., Іванюк, М. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5631
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For solutions of a system of $q$-linear $n$-order differential equations with singularity rank $p/r,\quad p,r \in \mathbb{N}$. the asymptotic representations are constructed in a sector of the complex plane with a central angle that does not exceed $\pi r/p$ by using the method of characteristic ma...