Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent

Youmin Lu and Zhoude Shao

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-8

Abstract:

There are several existing ways in developing the asymptotics of the Painlevé transcendents. But it is always a hard task to justify the existence of these asymptotics. In this note, we apply the successive approximation to the general fifth Painlevé equation and rigorously prove the existence of a group of asymptotics of its solutions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:657569

DOI: 10.1155/S0161171204402385

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