Analytic Properties of Solutions of a Class of Third-Order Equations

被引：0

作者：

Andreeva, T. K. ^{[1
]}

Martynov, I. P. ^{[1
]}

Pron'ko, V. A. ^{[1
]}

机构：

[1] Grodno State Univ, Grodno, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 09期

关键词：

ORDINARY DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; CONNECTION;

D O I：

10.1134/S0012266111090011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：6

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