All meromorphic solutions of the autonomous Schwarzian differential equations

IF 0.8 3区 数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-04-24 DOI:10.1112/blms.13045
Jie Zhang, Liangwen Liao, Chengfa Wu, Donghai Zhao
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引用次数: 0

Abstract

This paper considers a specific autonomous Schwarzian differential equation given by

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施瓦兹自主微分方程的所有同构解
本文考虑了一个由给出的特定自治施瓦兹微分方程,并给出了它的超越分形解的完整表征,从而证实了廖和吴最近提出的一个猜想。通过将我们的结果与前一篇论文(Math.Z. 2 (2022), 1657-1672)中的结果相结合,我们就能明确地构造出自主施瓦兹微分方程的所有超越非线性微变解。此外,除了一个特例之外,我们还确定了自律施瓦兹微分方程的所有非恒定有理解。
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
CiteScore
1.90
自引率
0.00%
发文量
198
审稿时长
4-8 weeks
期刊介绍: Published by Oxford University Press prior to January 2017: http://blms.oxfordjournals.org/
期刊最新文献
Issue Information The covariant functoriality of graph algebras Issue Information On a Galois property of fields generated by the torsion of an abelian variety Cross-ratio degrees and triangulations
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