Differential equations with a given set of solutions
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摘要
The aim of this paper is to study the following inverse problem of ordinary differential equations: For a given set of analytic functions with and for defined in the open interval we want to determine the differential equationwhere for in such a way that the given set of functions ω is a set of solutions of this differential equation.
论文关键词：Planar differential system,Inverse problem for ordinary differential equations,Ricatti equation,Abel equation,First integral
论文评审过程：Received 8 December 2018, Revised 22 July 2019, Accepted 4 August 2019, Available online 7 September 2019, Version of Record 7 September 2019.
论文官网地址：https://doi.org/10.1016/j.amc.2019.124659
