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

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.

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Bibliographic Details
Published in:	Differential equations Vol. 47; no. 9; pp. 1231 - 1236
Main Authors:	Andreeva, T. K., Martynov, I. P., Pron’ko, V. A.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 01-09-2011 Springer Nature B.V
Subjects:	Autonomous Difference and Functional Equations Differential equations Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Studies Arbitrary Constant General Solution Analytic Property Singular Point Rational Solution
Online Access:	Get full text
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Description
Summary:	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.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266111090011