Linear differential equation with inhomogeneity in the form of a formal power series over a ring with non-Archimedean valuation

• Дата: 2026
• Автори: Hefter, S. L., Goncharuk, A. B., Гефтер, С. Л., Гончарук, А. Б.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/7287
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.922 Consider the linear nonhomogeneous differential equation of $m$-th order with constant coefficients from the valuation ring $K$ of a non-Archimedean field. We get sufficient conditions of uniqueness and existence for the solution from the ring of formal power series $K[[x]]$ of thi...