On Existence and Uniqueness of Formal Power Series Solutions of Algebraic Ordinary Differential Equations

نویسندگان

چکیده

Given an algebraic ordinary differential equation (AODE), we propose a computational method to determine when truncated power series can be extended formal solution. If certain regularity condition on the given AODE or initial values is fulfilled, compute all of solutions. Moreover, existence confirmed, present structure set

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ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2022

ISSN: ['1660-5454', '1660-5446']

DOI: https://doi.org/10.1007/s00009-022-01984-w