| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4619114 | Journal of Mathematical Analysis and Applications | 2010 | 7 Pages |
Abstract
It is well known that, due to Boutroux, the first Painlevé equation admits solutions characterized by divergent asymptotic expansions near infinity in specified sectors of the complex plane. In this paper, we show that such solutions exist for higher order analogues of the first Painlevé equation (the first Painlevé hierarchy) as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
