Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field

• Published in: Український математичний журнал
• Date: 2005
• Main Author: Kochubei, A.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165739
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field / A.N. Kochubei // Український математичний журнал. — 2005. — Т. 57, № 5. — С. 669–678. — Бібліогр.: 12 назв. — англ.

In earlier papers the author studied some classes of equations with Carlitz derivatives for Fq -linear functions, which are the natural function field counterparts of linear ordinary differential equations. Here we consider equations containing self-compositions u∘u...∘u of the unknown function. As...