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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832560471009394688 |
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| author | Youmin Lu Zhoude Shao |
| author_facet | Youmin Lu Zhoude Shao |
| author_sort | Youmin Lu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-241491f40b7144c0b0842598f6e49e46 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-241491f40b7144c0b0842598f6e49e462025-02-03T01:27:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004693821382810.1155/S0161171204402385Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendentYoumin Lu0Zhoude Shao1Department of Mathematics and Computer Science, Bloomsburg University, Bloomsburg 17815, PA, USADepartment of Mathematics, Millersville University, Millersville 17551, PA, USAThere 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.http://dx.doi.org/10.1155/S0161171204402385 |
| spellingShingle | Youmin Lu Zhoude Shao Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent International Journal of Mathematics and Mathematical Sciences |
| title | Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent |
| title_full | Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent |
| title_fullStr | Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent |
| title_full_unstemmed | Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent |
| title_short | Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent |
| title_sort | justification of the existence of a group of asymptotics of the general fifth painleve transcendent |
| url | http://dx.doi.org/10.1155/S0161171204402385 |
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