Formal power series solutions of the differential equation ay'=by^m over Dedekind domains of characteristic zero
Let D be a Dedekind domain of characteristic zero, let K be the fraction field of D, and consider the Cauchy problem ay′ = byᵐ, y(0) = c₀, in the ring D[[x]], where a, b, c₀ ∈ D, a, b ≠ 0, and m ∈ ℕ. The paper studies when the unique formal solution y ∈ K[[x]] with initial value c₀ actually has all...
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| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
V.N. Karazin Kharkiv National University Publishing
2026-05-01
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| Serie: | Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika |
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| Accesso online: | https://periodicals.karazin.ua/mech_math/article/view/29053 |
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