Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field

• Дата: 2005
• Автори: Kochubei, A. N., Кочубей, А. Н.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: 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 $u \circ u ... \circ u$...