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
منابع مشابه
Formal Power Series Solutions of Algebraic Ordinary Differential Equations
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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