Malmquist Theorem for the Solutions of Differential Equations in the Vicinity of a Branching Point

• Date: 2014
• Main Authors: Mokhonko, A. Z., Mokhonko, A. A., Мохонько, А. З., Мохонько, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2221
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

An analog of the Malmquist theorem on the growth of solutions of the differential equation $f' = P(z, f)/Q(z, f)$, where $P(z, f)$ and $Q(z, f)$ are polynomials in all variables, is proved for the case where the coefficients and solutions of this equation have a branching point in infinity...