Algebraic integrability with bounded genus

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-02 DOI:10.1016/j.jde.2025.113466

Carlos Galindo , Francisco Monserrat , Elvira Pérez-Callejo

引用次数: 0

Abstract

We provide an algorithm which decides whether a polynomial foliation

F^{C^{2}}

on the complex plane has a polynomial first integral of genus

g \neq 1

. Except in a specific case, an extension of the algorithm also decides if

F^{C^{2}}

has a rational first integral of that genus.

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有界属的代数可积性

给出了复平面上多项式叶化FC2是否具有g≠1的多项式第一积分的判定算法。除特殊情况外，该算法的扩展还决定FC2是否具有该属的有理第一积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics