Analytic properties of solutions of a class of third-order equations

被引：0

作者：

T. K. Andreeva

I. P. Martynov

V. A. Pron’ko

机构：

[1] Grodno State University,

来源：

Differential Equations | 2011年 / 47卷

关键词：

General Solution; Singular Point; Arbitrary Constant; Analytic Property; Rational Solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We derive necessary and sufficient conditions for the general solution of an autonomous third-order ordinary differential equation of certain form to be meromorphic. We obtain equations with a movable singular line all of whose points are essentially singular points of the general solution.

引用

页码：1231 / 1236

页数：5

共 10 条

[1]

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[2]

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[3]

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[4]

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[5]

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[6]

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[7]

Ramani A.(1911)Sur les équations différentielles du troisième ordre et d’ordre supérieur dont l’intégrale générale a ses points critiques fixes Acta Math. 34 317-385

[8]

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