Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204402385 |
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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |