On the convergence of formal power-log series solutions of an algebraic ODE

Autor:	Gontsov, Renat, Goryuchkina, Irina
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	We propose a sufficient condition of the convergence of a power-log series that formally satisfies an algebraic ordinary differential equation (ODE) of arbitrary order. A general form and properties of the functional coefficients of such a series are established. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.07159 Zobrazit plný text záznamu View this record from Arxiv