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A note on an open problem about the first Painlevé equation

A note on an open problem about the first Painlevé equation In this note, we apply numerical analysis to the first Painlevé equation, find the conditions for it to have oscillating solutions and therefore solve an open problem posed by Peter A. Clarkson. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A note on an open problem about the first Painlevé equation

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-005-5153-4
Publisher site
See Article on Publisher Site

Abstract

In this note, we apply numerical analysis to the first Painlevé equation, find the conditions for it to have oscillating solutions and therefore solve an open problem posed by Peter A. Clarkson.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Aug 6, 2008

References