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, vol. 2004, Article ID 657569, 8 pages, 2004. https://doi.org/10.1155/S0161171204402385
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 group of asymptotics of its solutions.
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