Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field

• Datum: 2005
• Hauptverfasser: Kochubei, A. N., Кочубей, А. Н.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3633
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In earlier papers the author studied some classes of equations with Carlitz derivatives for $\mathbb{F}_q$ -linear functions, which are the natural function field counterparts of linear ordinary differential equations. Here we consider equations containing self-compositions $u \circ u ... \circ u$...